4x(x+6)=28

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Solution for 4x(x+6)=28 equation:


Simplifying
4x(x + 6) = 28

Reorder the terms:
4x(6 + x) = 28
(6 * 4x + x * 4x) = 28
(24x + 4x2) = 28

Solving
24x + 4x2 = 28

Solving for variable 'x'.

Reorder the terms:
-28 + 24x + 4x2 = 28 + -28

Combine like terms: 28 + -28 = 0
-28 + 24x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-7 + 6x + x2) = 0

Factor a trinomial.
4((-7 + -1x)(1 + -1x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7

Subproblem 2

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

Solution

x = {-7, 1}

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