4x(x-1)=(2x-3)(2x+5)

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Solution for 4x(x-1)=(2x-3)(2x+5) equation:


Simplifying
4x(x + -1) = (2x + -3)(2x + 5)

Reorder the terms:
4x(-1 + x) = (2x + -3)(2x + 5)
(-1 * 4x + x * 4x) = (2x + -3)(2x + 5)
(-4x + 4x2) = (2x + -3)(2x + 5)

Reorder the terms:
-4x + 4x2 = (-3 + 2x)(2x + 5)

Reorder the terms:
-4x + 4x2 = (-3 + 2x)(5 + 2x)

Multiply (-3 + 2x) * (5 + 2x)
-4x + 4x2 = (-3(5 + 2x) + 2x * (5 + 2x))
-4x + 4x2 = ((5 * -3 + 2x * -3) + 2x * (5 + 2x))
-4x + 4x2 = ((-15 + -6x) + 2x * (5 + 2x))
-4x + 4x2 = (-15 + -6x + (5 * 2x + 2x * 2x))
-4x + 4x2 = (-15 + -6x + (10x + 4x2))

Combine like terms: -6x + 10x = 4x
-4x + 4x2 = (-15 + 4x + 4x2)

Add '-4x2' to each side of the equation.
-4x + 4x2 + -4x2 = -15 + 4x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-4x + 0 = -15 + 4x + 4x2 + -4x2
-4x = -15 + 4x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-4x = -15 + 4x + 0
-4x = -15 + 4x

Solving
-4x = -15 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-4x + -4x = -15 + 4x + -4x

Combine like terms: -4x + -4x = -8x
-8x = -15 + 4x + -4x

Combine like terms: 4x + -4x = 0
-8x = -15 + 0
-8x = -15

Divide each side by '-8'.
x = 1.875

Simplifying
x = 1.875

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