(3x+21)*(20x-15)=0

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Solution for (3x+21)*(20x-15)=0 equation: 


Simplifying
(3x + 21)(20x + -15) = 0

Reorder the terms:
(21 + 3x)(20x + -15) = 0

Reorder the terms:
(21 + 3x)(-15 + 20x) = 0

Multiply (21 + 3x) * (-15 + 20x)
(21(-15 + 20x) + 3x * (-15 + 20x)) = 0
((-15 * 21 + 20x * 21) + 3x * (-15 + 20x)) = 0
((-315 + 420x) + 3x * (-15 + 20x)) = 0
(-315 + 420x + (-15 * 3x + 20x * 3x)) = 0
(-315 + 420x + (-45x + 60x2)) = 0

Combine like terms: 420x + -45x = 375x
(-315 + 375x + 60x2) = 0

Solving
-315 + 375x + 60x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '15'.
15(-21 + 25x + 4x2) = 0

Factor a trinomial.
15((-7 + -1x)(3 + -4x)) = 0

Ignore the factor 15.

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

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 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 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 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 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {-7, 0.75}

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