5(x+4)(5-7x)=

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Solution for 5(x+4)(5-7x)= equation: 


Simplifying
5(x + 4)(5 + -7x) = 0

Reorder the terms:
5(4 + x)(5 + -7x) = 0

Multiply (4 + x) * (5 + -7x)
5(4(5 + -7x) + x(5 + -7x)) = 0
5((5 * 4 + -7x * 4) + x(5 + -7x)) = 0
5((20 + -28x) + x(5 + -7x)) = 0
5(20 + -28x + (5 * x + -7x * x)) = 0
5(20 + -28x + (5x + -7x2)) = 0

Combine like terms: -28x + 5x = -23x
5(20 + -23x + -7x2) = 0
(20 * 5 + -23x * 5 + -7x2 * 5) = 0
(100 + -115x + -35x2) = 0

Solving
100 + -115x + -35x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(20 + -23x + -7x2) = 0

Factor a trinomial.
5((5 + -7x)(4 + x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(5 + -7x)' equal to zero and attempt to solve:

Simplifying
5 + -7x = 0

Solving
5 + -7x = 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 + -7x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = 0 + -5
-7x = 0 + -5

Combine like terms: 0 + -5 = -5
-7x = -5

Divide each side by '-7'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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

Simplifying
4 + x = 0

Solving
4 + x = 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 + x = 0 + -4

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

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

Simplifying
x = -4
Solution
x = {0.7142857143, -4}

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