13x^2+32x-336=0

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Solution for 13x^2+32x-336=0 equation:


Simplifying
13x2 + 32x + -336 = 0

Reorder the terms:
-336 + 32x + 13x2 = 0

Solving
-336 + 32x + 13x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-84 + -13x)(4 + -1x) = 0

Subproblem 1

Set the factor '(-84 + -13x)' equal to zero and attempt to solve: Simplifying -84 + -13x = 0 Solving -84 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + -13x = 0 + 84 Combine like terms: -84 + 84 = 0 0 + -13x = 0 + 84 -13x = 0 + 84 Combine like terms: 0 + 84 = 84 -13x = 84 Divide each side by '-13'. x = -6.461538462 Simplifying x = -6.461538462

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {-6.461538462, 4}

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