x^2+8x-5=9x+1

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Solution for x^2+8x-5=9x+1 equation:


Simplifying
x2 + 8x + -5 = 9x + 1

Reorder the terms:
-5 + 8x + x2 = 9x + 1

Reorder the terms:
-5 + 8x + x2 = 1 + 9x

Solving
-5 + 8x + x2 = 1 + 9x

Solving for variable 'x'.

Reorder the terms:
-5 + -1 + 8x + -9x + x2 = 1 + 9x + -1 + -9x

Combine like terms: -5 + -1 = -6
-6 + 8x + -9x + x2 = 1 + 9x + -1 + -9x

Combine like terms: 8x + -9x = -1x
-6 + -1x + x2 = 1 + 9x + -1 + -9x

Reorder the terms:
-6 + -1x + x2 = 1 + -1 + 9x + -9x

Combine like terms: 1 + -1 = 0
-6 + -1x + x2 = 0 + 9x + -9x
-6 + -1x + x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
-6 + -1x + x2 = 0

Factor a trinomial.
(-2 + -1x)(3 + -1x) = 0

Subproblem 1

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

Subproblem 2

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

Solution

x = {-2, 3}

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