x(2x-4)=286

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Solution for x(2x-4)=286 equation:


Simplifying
x(2x + -4) = 286

Reorder the terms:
x(-4 + 2x) = 286
(-4 * x + 2x * x) = 286
(-4x + 2x2) = 286

Solving
-4x + 2x2 = 286

Solving for variable 'x'.

Reorder the terms:
-286 + -4x + 2x2 = 286 + -286

Combine like terms: 286 + -286 = 0
-286 + -4x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-143 + -2x + x2) = 0

Factor a trinomial.
2((-11 + -1x)(13 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11

Subproblem 2

Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13

Solution

x = {-11, 13}

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