(2x^2+3)-1=2(x-1)(x-1)+3

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


Simplifying
(2x2 + 3) + -1 = 2(x + -1)(x + -1) + 3

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

Remove parenthesis around (3 + 2x2)
3 + 2x2 + -1 = 2(x + -1)(x + -1) + 3

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

Combine like terms: 3 + -1 = 2
2 + 2x2 = 2(x + -1)(x + -1) + 3

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

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

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

Combine like terms: -1x + -1x = -2x
2 + 2x2 = 2(1 + -2x + x2) + 3
2 + 2x2 = (1 * 2 + -2x * 2 + x2 * 2) + 3
2 + 2x2 = (2 + -4x + 2x2) + 3

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

Combine like terms: 2 + 3 = 5
2 + 2x2 = 5 + -4x + 2x2

Add '-2x2' to each side of the equation.
2 + 2x2 + -2x2 = 5 + -4x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
2 + 0 = 5 + -4x + 2x2 + -2x2
2 = 5 + -4x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
2 = 5 + -4x + 0
2 = 5 + -4x

Solving
2 = 5 + -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.
2 + 4x = 5 + -4x + 4x

Combine like terms: -4x + 4x = 0
2 + 4x = 5 + 0
2 + 4x = 5

Add '-2' to each side of the equation.
2 + -2 + 4x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 5 + -2
4x = 5 + -2

Combine like terms: 5 + -2 = 3
4x = 3

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75

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