(5x+20)(35x-15)=0

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Solution for (5x+20)(35x-15)=0 equation: 


Simplifying
(5x + 20)(35x + -15) = 0

Reorder the terms:
(20 + 5x)(35x + -15) = 0

Reorder the terms:
(20 + 5x)(-15 + 35x) = 0

Multiply (20 + 5x) * (-15 + 35x)
(20(-15 + 35x) + 5x * (-15 + 35x)) = 0
((-15 * 20 + 35x * 20) + 5x * (-15 + 35x)) = 0
((-300 + 700x) + 5x * (-15 + 35x)) = 0
(-300 + 700x + (-15 * 5x + 35x * 5x)) = 0
(-300 + 700x + (-75x + 175x2)) = 0

Combine like terms: 700x + -75x = 625x
(-300 + 625x + 175x2) = 0

Solving
-300 + 625x + 175x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '25'.
25(-12 + 25x + 7x2) = 0

Factor a trinomial.
25((-4 + -1x)(3 + -7x)) = 0

Ignore the factor 25.

Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 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 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(3 + -7x)' equal to zero and attempt to solve:

Simplifying
3 + -7x = 0

Solving
3 + -7x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = 0 + -3
-7x = 0 + -3

Combine like terms: 0 + -3 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286
Solution
x = {-4, 0.4285714286}

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