2x(x+9)-4=68

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Solution for 2x(x+9)-4=68 equation:


Simplifying
2x(x + 9) + -4 = 68

Reorder the terms:
2x(9 + x) + -4 = 68
(9 * 2x + x * 2x) + -4 = 68
(18x + 2x2) + -4 = 68

Reorder the terms:
-4 + 18x + 2x2 = 68

Solving
-4 + 18x + 2x2 = 68

Solving for variable 'x'.

Reorder the terms:
-4 + -68 + 18x + 2x2 = 68 + -68

Combine like terms: -4 + -68 = -72
-72 + 18x + 2x2 = 68 + -68

Combine like terms: 68 + -68 = 0
-72 + 18x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-36 + 9x + x2) = 0

Factor a trinomial.
2((-12 + -1x)(3 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-12 + -1x)' equal to zero and attempt to solve: Simplifying -12 + -1x = 0 Solving -12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-12, 3}

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