7888-(116-2x)(68-2x)=720

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Solution for 7888-(116-2x)(68-2x)=720 equation:


Simplifying
7888 + -1(116 + -2x)(68 + -2x) = 720

Multiply (116 + -2x) * (68 + -2x)
7888 + -1(116(68 + -2x) + -2x * (68 + -2x)) = 720
7888 + -1((68 * 116 + -2x * 116) + -2x * (68 + -2x)) = 720
7888 + -1((7888 + -232x) + -2x * (68 + -2x)) = 720
7888 + -1(7888 + -232x + (68 * -2x + -2x * -2x)) = 720
7888 + -1(7888 + -232x + (-136x + 4x2)) = 720

Combine like terms: -232x + -136x = -368x
7888 + -1(7888 + -368x + 4x2) = 720
7888 + (7888 * -1 + -368x * -1 + 4x2 * -1) = 720
7888 + (-7888 + 368x + -4x2) = 720

Combine like terms: 7888 + -7888 = 0
0 + 368x + -4x2 = 720
368x + -4x2 = 720

Solving
368x + -4x2 = 720

Solving for variable 'x'.

Reorder the terms:
-720 + 368x + -4x2 = 720 + -720

Combine like terms: 720 + -720 = 0
-720 + 368x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-180 + 92x + -1x2) = 0

Factor a trinomial.
4((-90 + x)(2 + -1x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-90 + x)' equal to zero and attempt to solve: Simplifying -90 + x = 0 Solving -90 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + x = 0 + 90 Combine like terms: -90 + 90 = 0 0 + x = 0 + 90 x = 0 + 90 Combine like terms: 0 + 90 = 90 x = 90 Simplifying x = 90

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 = {90, 2}

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