0=x^2+4x-140

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Solution for 0=x^2+4x-140 equation: 


Simplifying
0 = x2 + 4x + -140

Reorder the terms:
0 = -140 + 4x + x2

Solving
0 = -140 + 4x + x2

Solving for variable 'x'.

Combine like terms: 0 + 140 = 140
140 + -4x + -1x2 = -140 + 4x + x2 + 140 + -4x + -1x2

Reorder the terms:
140 + -4x + -1x2 = -140 + 140 + 4x + -4x + x2 + -1x2

Combine like terms: -140 + 140 = 0
140 + -4x + -1x2 = 0 + 4x + -4x + x2 + -1x2
140 + -4x + -1x2 = 4x + -4x + x2 + -1x2

Combine like terms: 4x + -4x = 0
140 + -4x + -1x2 = 0 + x2 + -1x2
140 + -4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
140 + -4x + -1x2 = 0

Factor a trinomial.
(10 + -1x)(14 + x) = 0


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 '(14 + x)' equal to zero and attempt to solve:

Simplifying
14 + x = 0

Solving
14 + x = 0

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

Add '-14' to each side of the equation.
14 + -14 + x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + x = 0 + -14
x = 0 + -14

Combine like terms: 0 + -14 = -14
x = -14

Simplifying
x = -14
Solution
x = {10, -14}

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