0=4x^2+24x-64

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Solution for 0=4x^2+24x-64 equation: 


Simplifying
0 = 4x2 + 24x + -64

Reorder the terms:
0 = -64 + 24x + 4x2

Solving
0 = -64 + 24x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + 64 = 64
64 + -24x + -4x2 = -64 + 24x + 4x2 + 64 + -24x + -4x2

Reorder the terms:
64 + -24x + -4x2 = -64 + 64 + 24x + -24x + 4x2 + -4x2

Combine like terms: -64 + 64 = 0
64 + -24x + -4x2 = 0 + 24x + -24x + 4x2 + -4x2
64 + -24x + -4x2 = 24x + -24x + 4x2 + -4x2

Combine like terms: 24x + -24x = 0
64 + -24x + -4x2 = 0 + 4x2 + -4x2
64 + -24x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
64 + -24x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(16 + -6x + -1x2) = 0

Factor a trinomial.
4((2 + -1x)(8 + x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Solution
x = {2, -8}

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