0=12x^2+13x-35

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Solution for 0=12x^2+13x-35 equation: 


Simplifying
0 = 12x2 + 13x + -35

Reorder the terms:
0 = -35 + 13x + 12x2

Solving
0 = -35 + 13x + 12x2

Solving for variable 'x'.

Combine like terms: 0 + 35 = 35
35 + -13x + -12x2 = -35 + 13x + 12x2 + 35 + -13x + -12x2

Reorder the terms:
35 + -13x + -12x2 = -35 + 35 + 13x + -13x + 12x2 + -12x2

Combine like terms: -35 + 35 = 0
35 + -13x + -12x2 = 0 + 13x + -13x + 12x2 + -12x2
35 + -13x + -12x2 = 13x + -13x + 12x2 + -12x2

Combine like terms: 13x + -13x = 0
35 + -13x + -12x2 = 0 + 12x2 + -12x2
35 + -13x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
35 + -13x + -12x2 = 0

Factor a trinomial.
(5 + -4x)(7 + 3x) = 0


Subproblem 1
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

Subproblem 2
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
Solution
x = {1.25, -2.333333333}

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