2x^2+15x+7=7

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Solution for 2x^2+15x+7=7 equation: 


Simplifying
2x2 + 15x + 7 = 7

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

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

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

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

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

Solving
15x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(15 + 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 '(15 + 2x)' equal to zero and attempt to solve:

Simplifying
15 + 2x = 0

Solving
15 + 2x = 0

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

Add '-15' to each side of the equation.
15 + -15 + 2x = 0 + -15

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

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

Divide each side by '2'.
x = -7.5

Simplifying
x = -7.5
Solution
x = {0, -7.5}

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