(4x+5)(8x+10)=

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Solution for (4x+5)(8x+10)= equation: 


Simplifying
(4x + 5)(8x + 10) = 0

Reorder the terms:
(5 + 4x)(8x + 10) = 0

Reorder the terms:
(5 + 4x)(10 + 8x) = 0

Multiply (5 + 4x) * (10 + 8x)
(5(10 + 8x) + 4x * (10 + 8x)) = 0
((10 * 5 + 8x * 5) + 4x * (10 + 8x)) = 0
((50 + 40x) + 4x * (10 + 8x)) = 0
(50 + 40x + (10 * 4x + 8x * 4x)) = 0
(50 + 40x + (40x + 32x2)) = 0

Combine like terms: 40x + 40x = 80x
(50 + 80x + 32x2) = 0

Solving
50 + 80x + 32x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(25 + 40x + 16x2) = 0

Factor a trinomial.
2((5 + 4x)(5 + 4x)) = 0

Ignore the factor 2.

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 '(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
Solution
x = {-1.25, -1.25}

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