2(5x-4)(x+5)=0

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Solution for 2(5x-4)(x+5)=0 equation: 


Simplifying
2(5x + -4)(x + 5) = 0

Reorder the terms:
2(-4 + 5x)(x + 5) = 0

Reorder the terms:
2(-4 + 5x)(5 + x) = 0

Multiply (-4 + 5x) * (5 + x)
2(-4(5 + x) + 5x * (5 + x)) = 0
2((5 * -4 + x * -4) + 5x * (5 + x)) = 0
2((-20 + -4x) + 5x * (5 + x)) = 0
2(-20 + -4x + (5 * 5x + x * 5x)) = 0
2(-20 + -4x + (25x + 5x2)) = 0

Combine like terms: -4x + 25x = 21x
2(-20 + 21x + 5x2) = 0
(-20 * 2 + 21x * 2 + 5x2 * 2) = 0
(-40 + 42x + 10x2) = 0

Solving
-40 + 42x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + 21x + 5x2) = 0

Factor a trinomial.
2((-5 + -1x)(4 + -5x)) = 0

Ignore the factor 2.

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

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 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 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2
Set the factor '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 0

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

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

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

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

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8
Solution
x = {-5, 0.8}

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