2x^2+6x=140

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


Simplifying
2x2 + 6x = 140

Reorder the terms:
6x + 2x2 = 140

Solving
6x + 2x2 = 140

Solving for variable 'x'.

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

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

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

Factor a trinomial.
2((-10 + -1x)(7 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10

Subproblem 2

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

Solution

x = {-10, 7}

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