3x^2+10x-88=0

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Solution for 3x^2+10x-88=0 equation:

Simplifying
3x2 + 10x + -88 = 0

Reorder the terms:
-88 + 10x + 3x2 = 0

Solving
-88 + 10x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-22 + -3x)(4 + -1x) = 0

Subproblem 1

Set the factor '(-22 + -3x)' equal to zero and attempt to solve: Simplifying -22 + -3x = 0 Solving -22 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -3x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -3x = 0 + 22 -3x = 0 + 22 Combine like terms: 0 + 22 = 22 -3x = 22 Divide each side by '-3'. x = -7.333333333 Simplifying x = -7.333333333

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 = {-7.333333333, 4}