x(28+4x)=72

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Solution for x(28+4x)=72 equation:


Simplifying
x(28 + 4x) = 72
(28 * x + 4x * x) = 72
(28x + 4x2) = 72

Solving
28x + 4x2 = 72

Solving for variable 'x'.

Reorder the terms:
-72 + 28x + 4x2 = 72 + -72

Combine like terms: 72 + -72 = 0
-72 + 28x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-18 + 7x + x2) = 0

Factor a trinomial.
4((-9 + -1x)(2 + -1x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 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 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9

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 = {-9, 2}

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