x(x-7)-3x(x+8)=

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Solution for x(x-7)-3x(x+8)= equation: 


Simplifying
x(x + -7) + -3x(x + 8) = 0

Reorder the terms:
x(-7 + x) + -3x(x + 8) = 0
(-7 * x + x * x) + -3x(x + 8) = 0
(-7x + x2) + -3x(x + 8) = 0

Reorder the terms:
-7x + x2 + -3x(8 + x) = 0
-7x + x2 + (8 * -3x + x * -3x) = 0
-7x + x2 + (-24x + -3x2) = 0

Reorder the terms:
-7x + -24x + x2 + -3x2 = 0

Combine like terms: -7x + -24x = -31x
-31x + x2 + -3x2 = 0

Combine like terms: x2 + -3x2 = -2x2
-31x + -2x2 = 0

Solving
-31x + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(31 + 2x) = 0

Ignore the factor -1.

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 '(31 + 2x)' equal to zero and attempt to solve:

Simplifying
31 + 2x = 0

Solving
31 + 2x = 0

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

Add '-31' to each side of the equation.
31 + -31 + 2x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + 2x = 0 + -31
2x = 0 + -31

Combine like terms: 0 + -31 = -31
2x = -31

Divide each side by '2'.
x = -15.5

Simplifying
x = -15.5
Solution
x = {0, -15.5}

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