x(2x+6)=56

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Solution for x(2x+6)=56 equation:


Simplifying
x(2x + 6) = 56

Reorder the terms:
x(6 + 2x) = 56
(6 * x + 2x * x) = 56
(6x + 2x2) = 56

Solving
6x + 2x2 = 56

Solving for variable 'x'.

Reorder the terms:
-56 + 6x + 2x2 = 56 + -56

Combine like terms: 56 + -56 = 0
-56 + 6x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-28 + 3x + x2) = 0

Factor a trinomial.
2((-7 + -1x)(4 + -1x)) = 0

Ignore the factor 2.

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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {-7, 4}

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