9x-(2x+8)5x-22=

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Solution for 9x-(2x+8)5x-22= equation:


Simplifying
9x + -1(2x + 8) * 5x + -22 = 0

Reorder the terms:
9x + -1(8 + 2x) * 5x + -22 = 0

Reorder the terms for easier multiplication:
9x + -1 * 5x(8 + 2x) + -22 = 0

Multiply -1 * 5
9x + -5x(8 + 2x) + -22 = 0
9x + (8 * -5x + 2x * -5x) + -22 = 0
9x + (-40x + -10x2) + -22 = 0

Reorder the terms:
-22 + 9x + -40x + -10x2 = 0

Combine like terms: 9x + -40x = -31x
-22 + -31x + -10x2 = 0

Solving
-22 + -31x + -10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(22 + 31x + 10x2) = 0

Factor a trinomial.
-1((2 + x)(11 + 10x)) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Subproblem 2

Set the factor '(11 + 10x)' equal to zero and attempt to solve: Simplifying 11 + 10x = 0 Solving 11 + 10x = 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 + 10x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 10x = 0 + -11 10x = 0 + -11 Combine like terms: 0 + -11 = -11 10x = -11 Divide each side by '10'. x = -1.1 Simplifying x = -1.1

Solution

x = {-2, -1.1}

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