8(x-1)(4x+5)=0

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Solution for 8(x-1)(4x+5)=0 equation: 


Simplifying
8(x + -1)(4x + 5) = 0

Reorder the terms:
8(-1 + x)(4x + 5) = 0

Reorder the terms:
8(-1 + x)(5 + 4x) = 0

Multiply (-1 + x) * (5 + 4x)
8(-1(5 + 4x) + x(5 + 4x)) = 0
8((5 * -1 + 4x * -1) + x(5 + 4x)) = 0
8((-5 + -4x) + x(5 + 4x)) = 0
8(-5 + -4x + (5 * x + 4x * x)) = 0
8(-5 + -4x + (5x + 4x2)) = 0

Combine like terms: -4x + 5x = 1x
8(-5 + 1x + 4x2) = 0
(-5 * 8 + 1x * 8 + 4x2 * 8) = 0
(-40 + 8x + 32x2) = 0

Solving
-40 + 8x + 32x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-5 + x + 4x2) = 0

Factor a trinomial.
8((-5 + -4x)(1 + -1x)) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(-5 + -4x)' equal to zero and attempt to solve:

Simplifying
-5 + -4x = 0

Solving
-5 + -4x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -4x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -4x = 0 + 5
-4x = 0 + 5

Combine like terms: 0 + 5 = 5
-4x = 5

Divide each side by '-4'.
x = -1.25

Simplifying
x = -1.25

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-1.25, 1}

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