-9=-9+4x^2-8x

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Solution for -9=-9+4x^2-8x equation:


Simplifying
-9 = -9 + 4x2 + -8x

Reorder the terms:
-9 = -9 + -8x + 4x2

Add '9' to each side of the equation.
-9 + 9 = -9 + -8x + 9 + 4x2

Combine like terms: -9 + 9 = 0
0 = -9 + -8x + 9 + 4x2

Reorder the terms:
0 = -9 + 9 + -8x + 4x2

Combine like terms: -9 + 9 = 0
0 = 0 + -8x + 4x2
0 = -8x + 4x2

Solving
0 = -8x + 4x2

Solving for variable 'x'.
Remove the zero:
8x + -4x2 = -8x + 4x2 + 8x + -4x2

Reorder the terms:
8x + -4x2 = -8x + 8x + 4x2 + -4x2

Combine like terms: -8x + 8x = 0
8x + -4x2 = 0 + 4x2 + -4x2
8x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
8x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(2 + -1x) = 0

Ignore the factor 4.

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 '(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

Solution

x = {0, 2}

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