x(7x+26)=2x^2-6x

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Solution for x(7x+26)=2x^2-6x equation: 


Simplifying
x(7x + 26) = 2x2 + -6x

Reorder the terms:
x(26 + 7x) = 2x2 + -6x
(26 * x + 7x * x) = 2x2 + -6x
(26x + 7x2) = 2x2 + -6x

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

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

Solving for variable 'x'.

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

Combine like terms: 26x + 6x = 32x
32x + 7x2 + -2x2 = -6x + 2x2 + 6x + -2x2

Combine like terms: 7x2 + -2x2 = 5x2
32x + 5x2 = -6x + 2x2 + 6x + -2x2

Reorder the terms:
32x + 5x2 = -6x + 6x + 2x2 + -2x2

Combine like terms: -6x + 6x = 0
32x + 5x2 = 0 + 2x2 + -2x2
32x + 5x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
32x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(32 + 5x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(32 + 5x)' equal to zero and attempt to solve:

Simplifying
32 + 5x = 0

Solving
32 + 5x = 0

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

Add '-32' to each side of the equation.
32 + -32 + 5x = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 5x = 0 + -32
5x = 0 + -32

Combine like terms: 0 + -32 = -32
5x = -32

Divide each side by '5'.
x = -6.4

Simplifying
x = -6.4
Solution
x = {0, -6.4}

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