# 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 1Set 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 2Set 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 = 4Solutionx = {-7.333333333, 4}`