3x^2=168+3x

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Solution for 3x^2=168+3x equation:


Simplifying
3x2 = 168 + 3x

Solving
3x2 = 168 + 3x

Solving for variable 'x'.

Reorder the terms:
-168 + -3x + 3x2 = 168 + 3x + -168 + -3x

Reorder the terms:
-168 + -3x + 3x2 = 168 + -168 + 3x + -3x

Combine like terms: 168 + -168 = 0
-168 + -3x + 3x2 = 0 + 3x + -3x
-168 + -3x + 3x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-168 + -3x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-56 + -1x + x2) = 0

Factor a trinomial.
3((-7 + -1x)(8 + -1x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7

Subproblem 2

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Solution

x = {-7, 8}

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