(x-1)(4x+15)=(2x-3)(2x-3)

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Solution for (x-1)(4x+15)=(2x-3)(2x-3) equation: 


Simplifying
(x + -1)(4x + 15) = (2x + -3)(2x + -3)

Reorder the terms:
(-1 + x)(4x + 15) = (2x + -3)(2x + -3)

Reorder the terms:
(-1 + x)(15 + 4x) = (2x + -3)(2x + -3)

Multiply (-1 + x) * (15 + 4x)
(-1(15 + 4x) + x(15 + 4x)) = (2x + -3)(2x + -3)
((15 * -1 + 4x * -1) + x(15 + 4x)) = (2x + -3)(2x + -3)
((-15 + -4x) + x(15 + 4x)) = (2x + -3)(2x + -3)
(-15 + -4x + (15 * x + 4x * x)) = (2x + -3)(2x + -3)
(-15 + -4x + (15x + 4x2)) = (2x + -3)(2x + -3)

Combine like terms: -4x + 15x = 11x
(-15 + 11x + 4x2) = (2x + -3)(2x + -3)

Reorder the terms:
-15 + 11x + 4x2 = (-3 + 2x)(2x + -3)

Reorder the terms:
-15 + 11x + 4x2 = (-3 + 2x)(-3 + 2x)

Multiply (-3 + 2x) * (-3 + 2x)
-15 + 11x + 4x2 = (-3(-3 + 2x) + 2x * (-3 + 2x))
-15 + 11x + 4x2 = ((-3 * -3 + 2x * -3) + 2x * (-3 + 2x))
-15 + 11x + 4x2 = ((9 + -6x) + 2x * (-3 + 2x))
-15 + 11x + 4x2 = (9 + -6x + (-3 * 2x + 2x * 2x))
-15 + 11x + 4x2 = (9 + -6x + (-6x + 4x2))

Combine like terms: -6x + -6x = -12x
-15 + 11x + 4x2 = (9 + -12x + 4x2)

Add '-4x2' to each side of the equation.
-15 + 11x + 4x2 + -4x2 = 9 + -12x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-15 + 11x + 0 = 9 + -12x + 4x2 + -4x2
-15 + 11x = 9 + -12x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-15 + 11x = 9 + -12x + 0
-15 + 11x = 9 + -12x

Solving
-15 + 11x = 9 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-15 + 11x + 12x = 9 + -12x + 12x

Combine like terms: 11x + 12x = 23x
-15 + 23x = 9 + -12x + 12x

Combine like terms: -12x + 12x = 0
-15 + 23x = 9 + 0
-15 + 23x = 9

Add '15' to each side of the equation.
-15 + 15 + 23x = 9 + 15

Combine like terms: -15 + 15 = 0
0 + 23x = 9 + 15
23x = 9 + 15

Combine like terms: 9 + 15 = 24
23x = 24

Divide each side by '23'.
x = 1.043478261

Simplifying
x = 1.043478261

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