x(x+8)-0.5=19.5

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Solution for x(x+8)-0.5=19.5 equation:


Simplifying
x(x + 8) + -0.5 = 19.5

Reorder the terms:
x(8 + x) + -0.5 = 19.5
(8 * x + x * x) + -0.5 = 19.5
(8x + x2) + -0.5 = 19.5

Reorder the terms:
-0.5 + 8x + x2 = 19.5

Solving
-0.5 + 8x + x2 = 19.5

Solving for variable 'x'.

Reorder the terms:
-0.5 + -19.5 + 8x + x2 = 19.5 + -19.5

Combine like terms: -0.5 + -19.5 = -20
-20 + 8x + x2 = 19.5 + -19.5

Combine like terms: 19.5 + -19.5 = 0.0
-20 + 8x + x2 = 0.0

Factor a trinomial.
(-10 + -1x)(2 + -1x) = 0.0

Subproblem 1

Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {-10, 2}

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