x(4x-3)+x(3x-4)=(7x+5)(x-1)

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Solution for x(4x-3)+x(3x-4)=(7x+5)(x-1) equation:


Simplifying
x(4x + -3) + x(3x + -4) = (7x + 5)(x + -1)

Reorder the terms:
x(-3 + 4x) + x(3x + -4) = (7x + 5)(x + -1)
(-3 * x + 4x * x) + x(3x + -4) = (7x + 5)(x + -1)
(-3x + 4x2) + x(3x + -4) = (7x + 5)(x + -1)

Reorder the terms:
-3x + 4x2 + x(-4 + 3x) = (7x + 5)(x + -1)
-3x + 4x2 + (-4 * x + 3x * x) = (7x + 5)(x + -1)
-3x + 4x2 + (-4x + 3x2) = (7x + 5)(x + -1)

Reorder the terms:
-3x + -4x + 4x2 + 3x2 = (7x + 5)(x + -1)

Combine like terms: -3x + -4x = -7x
-7x + 4x2 + 3x2 = (7x + 5)(x + -1)

Combine like terms: 4x2 + 3x2 = 7x2
-7x + 7x2 = (7x + 5)(x + -1)

Reorder the terms:
-7x + 7x2 = (5 + 7x)(x + -1)

Reorder the terms:
-7x + 7x2 = (5 + 7x)(-1 + x)

Multiply (5 + 7x) * (-1 + x)
-7x + 7x2 = (5(-1 + x) + 7x * (-1 + x))
-7x + 7x2 = ((-1 * 5 + x * 5) + 7x * (-1 + x))
-7x + 7x2 = ((-5 + 5x) + 7x * (-1 + x))
-7x + 7x2 = (-5 + 5x + (-1 * 7x + x * 7x))
-7x + 7x2 = (-5 + 5x + (-7x + 7x2))

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

Add '-7x2' to each side of the equation.
-7x + 7x2 + -7x2 = -5 + -2x + 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-7x + 0 = -5 + -2x + 7x2 + -7x2
-7x = -5 + -2x + 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-7x = -5 + -2x + 0
-7x = -5 + -2x

Solving
-7x = -5 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-7x + 2x = -5 + -2x + 2x

Combine like terms: -7x + 2x = -5x
-5x = -5 + -2x + 2x

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

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

Simplifying
x = 1

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