12x(x+7)=441

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Solution for 12x(x+7)=441 equation:


Simplifying
12x(x + 7) = 441

Reorder the terms:
12x(7 + x) = 441
(7 * 12x + x * 12x) = 441
(84x + 12x2) = 441

Solving
84x + 12x2 = 441

Solving for variable 'x'.

Reorder the terms:
-441 + 84x + 12x2 = 441 + -441

Combine like terms: 441 + -441 = 0
-441 + 84x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-147 + 28x + 4x2) = 0

Factor a trinomial.
3((-21 + -2x)(7 + -2x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-21 + -2x)' equal to zero and attempt to solve: Simplifying -21 + -2x = 0 Solving -21 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -2x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -2x = 0 + 21 -2x = 0 + 21 Combine like terms: 0 + 21 = 21 -2x = 21 Divide each side by '-2'. x = -10.5 Simplifying x = -10.5

Subproblem 2

Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 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 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5

Solution

x = {-10.5, 3.5}

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