(x+14)(x-11)=-84

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Solution for (x+14)(x-11)=-84 equation: 


Simplifying
(x + 14)(x + -11) = -84

Reorder the terms:
(14 + x)(x + -11) = -84

Reorder the terms:
(14 + x)(-11 + x) = -84

Multiply (14 + x) * (-11 + x)
(14(-11 + x) + x(-11 + x)) = -84
((-11 * 14 + x * 14) + x(-11 + x)) = -84
((-154 + 14x) + x(-11 + x)) = -84
(-154 + 14x + (-11 * x + x * x)) = -84
(-154 + 14x + (-11x + x2)) = -84

Combine like terms: 14x + -11x = 3x
(-154 + 3x + x2) = -84

Solving
-154 + 3x + x2 = -84

Solving for variable 'x'.

Reorder the terms:
-154 + 84 + 3x + x2 = -84 + 84

Combine like terms: -154 + 84 = -70
-70 + 3x + x2 = -84 + 84

Combine like terms: -84 + 84 = 0
-70 + 3x + x2 = 0

Factor a trinomial.
(-10 + -1x)(7 + -1x) = 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 '(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
Solution
x = {-10, 7}

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