0=5(-x+5)(6+7x)

Solution for 0=5(-x+5)(6+7x) equation:

Simplifying
0 = 5(-1x + 5)(6 + 7x)

Reorder the terms:
0 = 5(5 + -1x)(6 + 7x)

Multiply (5 + -1x) * (6 + 7x)
0 = 5(5(6 + 7x) + -1x * (6 + 7x))
0 = 5((6 * 5 + 7x * 5) + -1x * (6 + 7x))
0 = 5((30 + 35x) + -1x * (6 + 7x))
0 = 5(30 + 35x + (6 * -1x + 7x * -1x))
0 = 5(30 + 35x + (-6x + -7x2))

Combine like terms: 35x + -6x = 29x
0 = 5(30 + 29x + -7x2)
0 = (30 * 5 + 29x * 5 + -7x2 * 5)
0 = (150 + 145x + -35x2)

Solving
0 = 150 + 145x + -35x2

Solving for variable 'x'.

Combine like terms: 0 + -150 = -150
-150 + -145x + 35x2 = 150 + 145x + -35x2 + -150 + -145x + 35x2

Reorder the terms:
-150 + -145x + 35x2 = 150 + -150 + 145x + -145x + -35x2 + 35x2

Combine like terms: 150 + -150 = 0
-150 + -145x + 35x2 = 0 + 145x + -145x + -35x2 + 35x2
-150 + -145x + 35x2 = 145x + -145x + -35x2 + 35x2

Combine like terms: 145x + -145x = 0
-150 + -145x + 35x2 = 0 + -35x2 + 35x2
-150 + -145x + 35x2 = -35x2 + 35x2

Combine like terms: -35x2 + 35x2 = 0
-150 + -145x + 35x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-30 + -29x + 7x2) = 0

Factor a trinomial.
5((-6 + -7x)(5 + -1x)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-6 + -7x)' equal to zero and attempt to solve:

Simplifying
-6 + -7x = 0

Solving
-6 + -7x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -7x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -7x = 0 + 6
-7x = 0 + 6

Combine like terms: 0 + 6 = 6
-7x = 6

Divide each side by '-7'.
x = -0.8571428571

Simplifying
x = -0.8571428571
Subproblem 2
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
Solution
x = {-0.8571428571, 5}