168=80x-8x^2

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Solution for 168=80x-8x^2 equation:


Simplifying
168 = 80x + -8x2

Solving
168 = 80x + -8x2

Solving for variable 'x'.

Reorder the terms:
168 + -80x + 8x2 = 80x + -80x + -8x2 + 8x2

Combine like terms: 80x + -80x = 0
168 + -80x + 8x2 = 0 + -8x2 + 8x2
168 + -80x + 8x2 = -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
168 + -80x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(21 + -10x + x2) = 0

Factor a trinomial.
8((3 + -1x)(7 + -1x)) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Subproblem 2

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Solution

x = {3, 7}

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