3x^2-24x=99

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Solution for 3x^2-24x=99 equation:


Simplifying
3x2 + -24x = 99

Reorder the terms:
-24x + 3x2 = 99

Solving
-24x + 3x2 = 99

Solving for variable 'x'.

Reorder the terms:
-99 + -24x + 3x2 = 99 + -99

Combine like terms: 99 + -99 = 0
-99 + -24x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-33 + -8x + x2) = 0

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

Ignore the factor 3.

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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