x(7x+14)=560

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Solution for x(7x+14)=560 equation: 


Simplifying
x(7x + 14) = 560

Reorder the terms:
x(14 + 7x) = 560
(14 * x + 7x * x) = 560
(14x + 7x2) = 560

Solving
14x + 7x2 = 560

Solving for variable 'x'.

Reorder the terms:
-560 + 14x + 7x2 = 560 + -560

Combine like terms: 560 + -560 = 0
-560 + 14x + 7x2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(-80 + 2x + x2) = 0

Factor a trinomial.
7((-10 + -1x)(8 + -1x)) = 0

Ignore the factor 7.

Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-10, 8}

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