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

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


Simplifying
3x2 + -3 + (x + -4)(x + -4) = (2x + -5)(2x + -5)

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

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

Multiply (-4 + x) * (-4 + x)
3x2 + -3 + (-4(-4 + x) + x(-4 + x)) = (2x + -5)(2x + -5)
3x2 + -3 + ((-4 * -4 + x * -4) + x(-4 + x)) = (2x + -5)(2x + -5)
3x2 + -3 + ((16 + -4x) + x(-4 + x)) = (2x + -5)(2x + -5)
3x2 + -3 + (16 + -4x + (-4 * x + x * x)) = (2x + -5)(2x + -5)
3x2 + -3 + (16 + -4x + (-4x + x2)) = (2x + -5)(2x + -5)

Combine like terms: -4x + -4x = -8x
3x2 + -3 + (16 + -8x + x2) = (2x + -5)(2x + -5)

Reorder the terms:
-3 + 16 + -8x + 3x2 + x2 = (2x + -5)(2x + -5)

Combine like terms: -3 + 16 = 13
13 + -8x + 3x2 + x2 = (2x + -5)(2x + -5)

Combine like terms: 3x2 + x2 = 4x2
13 + -8x + 4x2 = (2x + -5)(2x + -5)

Reorder the terms:
13 + -8x + 4x2 = (-5 + 2x)(2x + -5)

Reorder the terms:
13 + -8x + 4x2 = (-5 + 2x)(-5 + 2x)

Multiply (-5 + 2x) * (-5 + 2x)
13 + -8x + 4x2 = (-5(-5 + 2x) + 2x * (-5 + 2x))
13 + -8x + 4x2 = ((-5 * -5 + 2x * -5) + 2x * (-5 + 2x))
13 + -8x + 4x2 = ((25 + -10x) + 2x * (-5 + 2x))
13 + -8x + 4x2 = (25 + -10x + (-5 * 2x + 2x * 2x))
13 + -8x + 4x2 = (25 + -10x + (-10x + 4x2))

Combine like terms: -10x + -10x = -20x
13 + -8x + 4x2 = (25 + -20x + 4x2)

Add '-4x2' to each side of the equation.
13 + -8x + 4x2 + -4x2 = 25 + -20x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
13 + -8x + 0 = 25 + -20x + 4x2 + -4x2
13 + -8x = 25 + -20x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
13 + -8x = 25 + -20x + 0
13 + -8x = 25 + -20x

Solving
13 + -8x = 25 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
13 + -8x + 20x = 25 + -20x + 20x

Combine like terms: -8x + 20x = 12x
13 + 12x = 25 + -20x + 20x

Combine like terms: -20x + 20x = 0
13 + 12x = 25 + 0
13 + 12x = 25

Add '-13' to each side of the equation.
13 + -13 + 12x = 25 + -13

Combine like terms: 13 + -13 = 0
0 + 12x = 25 + -13
12x = 25 + -13

Combine like terms: 25 + -13 = 12
12x = 12

Divide each side by '12'.
x = 1

Simplifying
x = 1

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