84=x(x+8)

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Solution for 84=x(x+8) equation:


Simplifying
84 = x(x + 8)

Reorder the terms:
84 = x(8 + x)
84 = (8 * x + x * x)
84 = (8x + x2)

Solving
84 = 8x + x2

Solving for variable 'x'.

Reorder the terms:
84 + -8x + -1x2 = 8x + -8x + x2 + -1x2

Combine like terms: 8x + -8x = 0
84 + -8x + -1x2 = 0 + x2 + -1x2
84 + -8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
84 + -8x + -1x2 = 0

Factor a trinomial.
(6 + -1x)(14 + x) = 0

Subproblem 1

Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Subproblem 2

Set the factor '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14

Solution

x = {6, -14}

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