763=x+32+x+2x(x-1)

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Solution for 763=x+32+x+2x(x-1) equation:


Simplifying
763 = x + 32 + x + 2x(x + -1)

Reorder the terms:
763 = x + 32 + x + 2x(-1 + x)
763 = x + 32 + x + (-1 * 2x + x * 2x)
763 = x + 32 + x + (-2x + 2x2)

Reorder the terms:
763 = 32 + x + x + -2x + 2x2

Combine like terms: x + x = 2x
763 = 32 + 2x + -2x + 2x2

Combine like terms: 2x + -2x = 0
763 = 32 + 0 + 2x2
763 = 32 + 2x2

Solving
763 = 32 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
763 + -2x2 = 32 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
763 + -2x2 = 32 + 0
763 + -2x2 = 32

Add '-763' to each side of the equation.
763 + -763 + -2x2 = 32 + -763

Combine like terms: 763 + -763 = 0
0 + -2x2 = 32 + -763
-2x2 = 32 + -763

Combine like terms: 32 + -763 = -731
-2x2 = -731

Divide each side by '-2'.
x2 = 365.5

Simplifying
x2 = 365.5

Take the square root of each side:
x = {-19.118054294, 19.118054294}

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