6x^2-140=2x

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Solution for 6x^2-140=2x equation:


Simplifying
6x2 + -140 = 2x

Reorder the terms:
-140 + 6x2 = 2x

Solving
-140 + 6x2 = 2x

Solving for variable 'x'.

Reorder the terms:
-140 + -2x + 6x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-140 + -2x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-70 + -1x + 3x2) = 0

Factor a trinomial.
2((-14 + -3x)(5 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-14 + -3x)' equal to zero and attempt to solve: Simplifying -14 + -3x = 0 Solving -14 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -3x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = 0 + 14 -3x = 0 + 14 Combine like terms: 0 + 14 = 14 -3x = 14 Divide each side by '-3'. x = -4.666666667 Simplifying x = -4.666666667

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {-4.666666667, 5}

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