8(2x+1)(x-5)=-121

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Solution for 8(2x+1)(x-5)=-121 equation: 


Simplifying
8(2x + 1)(x + -5) = -121

Reorder the terms:
8(1 + 2x)(x + -5) = -121

Reorder the terms:
8(1 + 2x)(-5 + x) = -121

Multiply (1 + 2x) * (-5 + x)
8(1(-5 + x) + 2x * (-5 + x)) = -121
8((-5 * 1 + x * 1) + 2x * (-5 + x)) = -121
8((-5 + 1x) + 2x * (-5 + x)) = -121
8(-5 + 1x + (-5 * 2x + x * 2x)) = -121
8(-5 + 1x + (-10x + 2x2)) = -121

Combine like terms: 1x + -10x = -9x
8(-5 + -9x + 2x2) = -121
(-5 * 8 + -9x * 8 + 2x2 * 8) = -121
(-40 + -72x + 16x2) = -121

Solving
-40 + -72x + 16x2 = -121

Solving for variable 'x'.

Reorder the terms:
-40 + 121 + -72x + 16x2 = -121 + 121

Combine like terms: -40 + 121 = 81
81 + -72x + 16x2 = -121 + 121

Combine like terms: -121 + 121 = 0
81 + -72x + 16x2 = 0

Factor a trinomial.
(9 + -4x)(9 + -4x) = 0


Subproblem 1
Set the factor '(9 + -4x)' equal to zero and attempt to solve:

Simplifying
9 + -4x = 0

Solving
9 + -4x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 0 + -9
-4x = 0 + -9

Combine like terms: 0 + -9 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25

Subproblem 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve:

Simplifying
9 + -4x = 0

Solving
9 + -4x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 0 + -9
-4x = 0 + -9

Combine like terms: 0 + -9 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25
Solution
x = {2.25, 2.25}

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