Since -3 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 3 to both sides.
b=-2_2b=3
Divide each term in the equation by 2.
b=-2_b=(3)/(2)
The complete solution is the set of the individual solutions.
b=-2,(3)/(2)
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3t^(2)-18t+15=0
Factor out the GCF of 3 from 3t^(2)-18t+15.
3(t^(2)-6t+5)=0
Factor the trinomial t^(2)-6t+5.
3(t-1)(t-5)=0
Divide both sides of the equation by 3. Dividing 0 by any non-zero number is 0.
(t-1)(t-5)=0
Set each of the factors of the left-hand side of the equation equal to 0.
t-1=0_t-5=0
Since -1 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 1 to both sides.
t=1_t-5=0
Set each of the factors of the left-hand side of the equation equal to 0.
t=1_t-5=0
Since -5 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 5 to both sides.
t=1_t=5
The complete solution is the set of the individual solutions.
t=1,5
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2x^(2)+3x-2=0
Find the factors such that the product of the factors is the trinomial 2x^(2)+3x-2. This can be done by trial and error and checked using the FOIL method of simplifying polynomials.
(x+2)(2x-1)=0
Set each of the factors of the left-hand side of the equation equal to 0.
x+2=0_2x-1=0
Since 2 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 2 from both sides.
x=-2_2x-1=0
Set each of the factors of the left-hand side of the equation equal to 0.
x=-2_2x-1=0
Since -1 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 1 to both sides.
x=-2_2x=1
Divide each term in the equation by 2.
x=-2_x=(1)/(2)
The complete solution is the set of the individual solutions.