(x+5)(2x-3)=-15

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Solution for (x+5)(2x-3)=-15 equation: 


Simplifying
(x + 5)(2x + -3) = -15

Reorder the terms:
(5 + x)(2x + -3) = -15

Reorder the terms:
(5 + x)(-3 + 2x) = -15

Multiply (5 + x) * (-3 + 2x)
(5(-3 + 2x) + x(-3 + 2x)) = -15
((-3 * 5 + 2x * 5) + x(-3 + 2x)) = -15
((-15 + 10x) + x(-3 + 2x)) = -15
(-15 + 10x + (-3 * x + 2x * x)) = -15
(-15 + 10x + (-3x + 2x2)) = -15

Combine like terms: 10x + -3x = 7x
(-15 + 7x + 2x2) = -15

Add '15' to each side of the equation.
-15 + 7x + 15 + 2x2 = -15 + 15

Reorder the terms:
-15 + 15 + 7x + 2x2 = -15 + 15

Combine like terms: -15 + 15 = 0
0 + 7x + 2x2 = -15 + 15
7x + 2x2 = -15 + 15

Combine like terms: -15 + 15 = 0
7x + 2x2 = 0

Solving
7x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + 2x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5
Solution
x = {0, -3.5}

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