(5x+35)(-5x+2)=0

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Solution for (5x+35)(-5x+2)=0 equation: 


Simplifying
(5x + 35)(-5x + 2) = 0

Reorder the terms:
(35 + 5x)(-5x + 2) = 0

Reorder the terms:
(35 + 5x)(2 + -5x) = 0

Multiply (35 + 5x) * (2 + -5x)
(35(2 + -5x) + 5x * (2 + -5x)) = 0
((2 * 35 + -5x * 35) + 5x * (2 + -5x)) = 0
((70 + -175x) + 5x * (2 + -5x)) = 0
(70 + -175x + (2 * 5x + -5x * 5x)) = 0
(70 + -175x + (10x + -25x2)) = 0

Combine like terms: -175x + 10x = -165x
(70 + -165x + -25x2) = 0

Solving
70 + -165x + -25x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(14 + -33x + -5x2) = 0

Factor a trinomial.
5((2 + -5x)(7 + x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(2 + -5x)' equal to zero and attempt to solve:

Simplifying
2 + -5x = 0

Solving
2 + -5x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 0 + -2
-5x = 0 + -2

Combine like terms: 0 + -2 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4

Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

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

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

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

Simplifying
x = -7
Solution
x = {0.4, -7}

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