6x^2=2(13x+10)

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Solution for 6x^2=2(13x+10) equation: 


Simplifying
6x2 = 2(13x + 10)

Reorder the terms:
6x2 = 2(10 + 13x)
6x2 = (10 * 2 + 13x * 2)
6x2 = (20 + 26x)

Solving
6x2 = 20 + 26x

Solving for variable 'x'.

Reorder the terms:
-20 + -26x + 6x2 = 20 + 26x + -20 + -26x

Reorder the terms:
-20 + -26x + 6x2 = 20 + -20 + 26x + -26x

Combine like terms: 20 + -20 = 0
-20 + -26x + 6x2 = 0 + 26x + -26x
-20 + -26x + 6x2 = 26x + -26x

Combine like terms: 26x + -26x = 0
-20 + -26x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + -13x + 3x2) = 0

Factor a trinomial.
2((-2 + -3x)(5 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve:

Simplifying
-2 + -3x = 0

Solving
-2 + -3x = 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 + -3x = 0 + 2

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

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

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-0.6666666667, 5}

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