5(x-2)+2(3x^2-12x+12)=

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Solution for 5(x-2)+2(3x^2-12x+12)= equation: 


Simplifying
5(x + -2) + 2(3x2 + -12x + 12) = 0

Reorder the terms:
5(-2 + x) + 2(3x2 + -12x + 12) = 0
(-2 * 5 + x * 5) + 2(3x2 + -12x + 12) = 0
(-10 + 5x) + 2(3x2 + -12x + 12) = 0

Reorder the terms:
-10 + 5x + 2(12 + -12x + 3x2) = 0
-10 + 5x + (12 * 2 + -12x * 2 + 3x2 * 2) = 0
-10 + 5x + (24 + -24x + 6x2) = 0

Reorder the terms:
-10 + 24 + 5x + -24x + 6x2 = 0

Combine like terms: -10 + 24 = 14
14 + 5x + -24x + 6x2 = 0

Combine like terms: 5x + -24x = -19x
14 + -19x + 6x2 = 0

Solving
14 + -19x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -6x)(2 + -1x) = 0


Subproblem 1
Set the factor '(7 + -6x)' equal to zero and attempt to solve:

Simplifying
7 + -6x = 0

Solving
7 + -6x = 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 + -6x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = 0 + -7
-6x = 0 + -7

Combine like terms: 0 + -7 = -7
-6x = -7

Divide each side by '-6'.
x = 1.166666667

Simplifying
x = 1.166666667

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {1.166666667, 2}

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