63=x(x+2)

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Solution for 63=x(x+2) equation:


Simplifying
63 = x(x + 2)

Reorder the terms:
63 = x(2 + x)
63 = (2 * x + x * x)
63 = (2x + x2)

Solving
63 = 2x + x2

Solving for variable 'x'.

Reorder the terms:
63 + -2x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
63 + -2x + -1x2 = 0 + x2 + -1x2
63 + -2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
63 + -2x + -1x2 = 0

Factor a trinomial.
(7 + -1x)(9 + x) = 0

Subproblem 1

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Subproblem 2

Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9

Solution

x = {7, -9}

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