120x^2=-136x+336

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Solution for 120x^2=-136x+336 equation:


Simplifying
120x2 = -136x + 336

Reorder the terms:
120x2 = 336 + -136x

Solving
120x2 = 336 + -136x

Solving for variable 'x'.

Reorder the terms:
-336 + 136x + 120x2 = 336 + -136x + -336 + 136x

Reorder the terms:
-336 + 136x + 120x2 = 336 + -336 + -136x + 136x

Combine like terms: 336 + -336 = 0
-336 + 136x + 120x2 = 0 + -136x + 136x
-336 + 136x + 120x2 = -136x + 136x

Combine like terms: -136x + 136x = 0
-336 + 136x + 120x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-42 + 17x + 15x2) = 0

Factor a trinomial.
8((-7 + -3x)(6 + -5x)) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(-7 + -3x)' equal to zero and attempt to solve: Simplifying -7 + -3x = 0 Solving -7 + -3x = 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 + -3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 0 + 7 -3x = 0 + 7 Combine like terms: 0 + 7 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333

Subproblem 2

Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2

Solution

x = {-2.333333333, 1.2}

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