12x^2+41x-70=0

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Solution for 12x^2+41x-70=0 equation: 


Simplifying
12x2 + 41x + -70 = 0

Reorder the terms:
-70 + 41x + 12x2 = 0

Solving
-70 + 41x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-14 + -3x)(5 + -4x) = 0


Subproblem 1
Set the factor '(-14 + -3x)' equal to zero and attempt to solve:

Simplifying
-14 + -3x = 0

Solving
-14 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '14' to each side of the equation.
-14 + 14 + -3x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -3x = 0 + 14
-3x = 0 + 14

Combine like terms: 0 + 14 = 14
-3x = 14

Divide each side by '-3'.
x = -4.666666667

Simplifying
x = -4.666666667

Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {-4.666666667, 1.25}

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