0=-12+7x+10x^2

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Solution for 0=-12+7x+10x^2 equation: 


Simplifying
0 = -12 + 7x + 10x2

Solving
0 = -12 + 7x + 10x2

Solving for variable 'x'.

Combine like terms: 0 + 12 = 12
12 + -7x + -10x2 = -12 + 7x + 10x2 + 12 + -7x + -10x2

Reorder the terms:
12 + -7x + -10x2 = -12 + 12 + 7x + -7x + 10x2 + -10x2

Combine like terms: -12 + 12 = 0
12 + -7x + -10x2 = 0 + 7x + -7x + 10x2 + -10x2
12 + -7x + -10x2 = 7x + -7x + 10x2 + -10x2

Combine like terms: 7x + -7x = 0
12 + -7x + -10x2 = 0 + 10x2 + -10x2
12 + -7x + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
12 + -7x + -10x2 = 0

Factor a trinomial.
(4 + -5x)(3 + 2x) = 0


Subproblem 1
Set the factor '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 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 + -5x = 0 + -4

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

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

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8

Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {0.8, -1.5}

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