28x(x+4)=3920

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Solution for 28x(x+4)=3920 equation:


Simplifying
28x(x + 4) = 3920

Reorder the terms:
28x(4 + x) = 3920
(4 * 28x + x * 28x) = 3920
(112x + 28x2) = 3920

Solving
112x + 28x2 = 3920

Solving for variable 'x'.

Reorder the terms:
-3920 + 112x + 28x2 = 3920 + -3920

Combine like terms: 3920 + -3920 = 0
-3920 + 112x + 28x2 = 0

Factor out the Greatest Common Factor (GCF), '28'.
28(-140 + 4x + x2) = 0

Factor a trinomial.
28((-14 + -1x)(10 + -1x)) = 0

Ignore the factor 28.

Subproblem 1

Set the factor '(-14 + -1x)' equal to zero and attempt to solve: Simplifying -14 + -1x = 0 Solving -14 + -1x = 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 + -1x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = 0 + 14 -1x = 0 + 14 Combine like terms: 0 + 14 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14

Subproblem 2

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

Solution

x = {-14, 10}

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