(2x+24)(2x+24)=4

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Solution for (2x+24)(2x+24)=4 equation:


Simplifying
(2x + 24)(2x + 24) = 4

Reorder the terms:
(24 + 2x)(2x + 24) = 4

Reorder the terms:
(24 + 2x)(24 + 2x) = 4

Multiply (24 + 2x) * (24 + 2x)
(24(24 + 2x) + 2x * (24 + 2x)) = 4
((24 * 24 + 2x * 24) + 2x * (24 + 2x)) = 4
((576 + 48x) + 2x * (24 + 2x)) = 4
(576 + 48x + (24 * 2x + 2x * 2x)) = 4
(576 + 48x + (48x + 4x2)) = 4

Combine like terms: 48x + 48x = 96x
(576 + 96x + 4x2) = 4

Solving
576 + 96x + 4x2 = 4

Solving for variable 'x'.

Reorder the terms:
576 + -4 + 96x + 4x2 = 4 + -4

Combine like terms: 576 + -4 = 572
572 + 96x + 4x2 = 4 + -4

Combine like terms: 4 + -4 = 0
572 + 96x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(143 + 24x + x2) = 0

Factor a trinomial.
4((13 + x)(11 + x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(13 + x)' equal to zero and attempt to solve:

Simplifying
13 + x = 0

Solving
13 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-13' to each side of the equation.
13 + -13 + x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + x = 0 + -13
x = 0 + -13

Combine like terms: 0 + -13 = -13
x = -13

Simplifying
x = -13

Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Solution
x = {-13, -11}

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