(x*x)-(8*x)=1280

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Solution for (x*x)-(8*x)=1280 equation:


Simplifying
(x * x) + -1(8x) = 1280

Multiply x * x
(x2) + -1(8x) = 1280
x2 + -1(8x) = 1280

Remove parenthesis around (8x)
x2 + -1 * 8x = 1280

Multiply -1 * 8
x2 + -8x = 1280

Reorder the terms:
-8x + x2 = 1280

Solving
-8x + x2 = 1280

Solving for variable 'x'.

Reorder the terms:
-1280 + -8x + x2 = 1280 + -1280

Combine like terms: 1280 + -1280 = 0
-1280 + -8x + x2 = 0

Factor a trinomial.
(-32 + -1x)(40 + -1x) = 0

Subproblem 1

Set the factor '(-32 + -1x)' equal to zero and attempt to solve: Simplifying -32 + -1x = 0 Solving -32 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -1x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -1x = 0 + 32 -1x = 0 + 32 Combine like terms: 0 + 32 = 32 -1x = 32 Divide each side by '-1'. x = -32 Simplifying x = -32

Subproblem 2

Set the factor '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40

Solution

x = {-32, 40}

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