x(5x-7)+x(4x-2)=(9x+6)(x-5)

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Solution for x(5x-7)+x(4x-2)=(9x+6)(x-5) equation: 


Simplifying
x(5x + -7) + x(4x + -2) = (9x + 6)(x + -5)

Reorder the terms:
x(-7 + 5x) + x(4x + -2) = (9x + 6)(x + -5)
(-7 * x + 5x * x) + x(4x + -2) = (9x + 6)(x + -5)
(-7x + 5x2) + x(4x + -2) = (9x + 6)(x + -5)

Reorder the terms:
-7x + 5x2 + x(-2 + 4x) = (9x + 6)(x + -5)
-7x + 5x2 + (-2 * x + 4x * x) = (9x + 6)(x + -5)
-7x + 5x2 + (-2x + 4x2) = (9x + 6)(x + -5)

Reorder the terms:
-7x + -2x + 5x2 + 4x2 = (9x + 6)(x + -5)

Combine like terms: -7x + -2x = -9x
-9x + 5x2 + 4x2 = (9x + 6)(x + -5)

Combine like terms: 5x2 + 4x2 = 9x2
-9x + 9x2 = (9x + 6)(x + -5)

Reorder the terms:
-9x + 9x2 = (6 + 9x)(x + -5)

Reorder the terms:
-9x + 9x2 = (6 + 9x)(-5 + x)

Multiply (6 + 9x) * (-5 + x)
-9x + 9x2 = (6(-5 + x) + 9x * (-5 + x))
-9x + 9x2 = ((-5 * 6 + x * 6) + 9x * (-5 + x))
-9x + 9x2 = ((-30 + 6x) + 9x * (-5 + x))
-9x + 9x2 = (-30 + 6x + (-5 * 9x + x * 9x))
-9x + 9x2 = (-30 + 6x + (-45x + 9x2))

Combine like terms: 6x + -45x = -39x
-9x + 9x2 = (-30 + -39x + 9x2)

Add '-9x2' to each side of the equation.
-9x + 9x2 + -9x2 = -30 + -39x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-9x + 0 = -30 + -39x + 9x2 + -9x2
-9x = -30 + -39x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-9x = -30 + -39x + 0
-9x = -30 + -39x

Solving
-9x = -30 + -39x

Solving for variable 'x'.

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

Add '39x' to each side of the equation.
-9x + 39x = -30 + -39x + 39x

Combine like terms: -9x + 39x = 30x
30x = -30 + -39x + 39x

Combine like terms: -39x + 39x = 0
30x = -30 + 0
30x = -30

Divide each side by '30'.
x = -1

Simplifying
x = -1

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