(6+x)(9+x)=88

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Solution for (6+x)(9+x)=88 equation:


Simplifying
(6 + x)(9 + x) = 88

Multiply (6 + x) * (9 + x)
(6(9 + x) + x(9 + x)) = 88
((9 * 6 + x * 6) + x(9 + x)) = 88
((54 + 6x) + x(9 + x)) = 88
(54 + 6x + (9 * x + x * x)) = 88
(54 + 6x + (9x + x2)) = 88

Combine like terms: 6x + 9x = 15x
(54 + 15x + x2) = 88

Solving
54 + 15x + x2 = 88

Solving for variable 'x'.

Reorder the terms:
54 + -88 + 15x + x2 = 88 + -88

Combine like terms: 54 + -88 = -34
-34 + 15x + x2 = 88 + -88

Combine like terms: 88 + -88 = 0
-34 + 15x + x2 = 0

Factor a trinomial.
(-17 + -1x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-17 + -1x)' equal to zero and attempt to solve: Simplifying -17 + -1x = 0 Solving -17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = 0 + 17 -1x = 0 + 17 Combine like terms: 0 + 17 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17

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 = {-17, 2}

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