x*x-8x=33

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Solution for x*x-8x=33 equation:


Simplifying
x * x + -8x = 33

Multiply x * x
x2 + -8x = 33

Reorder the terms:
-8x + x2 = 33

Solving
-8x + x2 = 33

Solving for variable 'x'.

Reorder the terms:
-33 + -8x + x2 = 33 + -33

Combine like terms: 33 + -33 = 0
-33 + -8x + x2 = 0

Factor a trinomial.
(-3 + -1x)(11 + -1x) = 0

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 '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 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 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11

Solution

x = {-3, 11}

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