2x^2-26x=-7x^2-6x-4

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Solution for 2x^2-26x=-7x^2-6x-4 equation: 


Simplifying
2x2 + -26x = -7x2 + -6x + -4

Reorder the terms:
-26x + 2x2 = -7x2 + -6x + -4

Reorder the terms:
-26x + 2x2 = -4 + -6x + -7x2

Solving
-26x + 2x2 = -4 + -6x + -7x2

Solving for variable 'x'.

Reorder the terms:
4 + -26x + 6x + 2x2 + 7x2 = -4 + -6x + -7x2 + 4 + 6x + 7x2

Combine like terms: -26x + 6x = -20x
4 + -20x + 2x2 + 7x2 = -4 + -6x + -7x2 + 4 + 6x + 7x2

Combine like terms: 2x2 + 7x2 = 9x2
4 + -20x + 9x2 = -4 + -6x + -7x2 + 4 + 6x + 7x2

Reorder the terms:
4 + -20x + 9x2 = -4 + 4 + -6x + 6x + -7x2 + 7x2

Combine like terms: -4 + 4 = 0
4 + -20x + 9x2 = 0 + -6x + 6x + -7x2 + 7x2
4 + -20x + 9x2 = -6x + 6x + -7x2 + 7x2

Combine like terms: -6x + 6x = 0
4 + -20x + 9x2 = 0 + -7x2 + 7x2
4 + -20x + 9x2 = -7x2 + 7x2

Combine like terms: -7x2 + 7x2 = 0
4 + -20x + 9x2 = 0

Factor a trinomial.
(2 + -9x)(2 + -1x) = 0


Subproblem 1
Set the factor '(2 + -9x)' equal to zero and attempt to solve:

Simplifying
2 + -9x = 0

Solving
2 + -9x = 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 + -9x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9x = 0 + -2
-9x = 0 + -2

Combine like terms: 0 + -2 = -2
-9x = -2

Divide each side by '-9'.
x = 0.2222222222

Simplifying
x = 0.2222222222

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 = {0.2222222222, 2}

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