(2x)(x+7)=520

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Solution for (2x)(x+7)=520 equation:


Simplifying
(2x)(x + 7) = 520

Remove parenthesis around (2x)
2x(x + 7) = 520

Reorder the terms:
2x(7 + x) = 520
(7 * 2x + x * 2x) = 520
(14x + 2x2) = 520

Solving
14x + 2x2 = 520

Solving for variable 'x'.

Reorder the terms:
-520 + 14x + 2x2 = 520 + -520

Combine like terms: 520 + -520 = 0
-520 + 14x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-260 + 7x + x2) = 0

Factor a trinomial.
2((-20 + -1x)(13 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-20 + -1x)' equal to zero and attempt to solve: Simplifying -20 + -1x = 0 Solving -20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 0 + 20 -1x = 0 + 20 Combine like terms: 0 + 20 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20

Subproblem 2

Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 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 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13

Solution

x = {-20, 13}

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