2x(x+9)(7x-20)=0

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Solution for 2x(x+9)(7x-20)=0 equation: 


Simplifying
2x(x + 9)(7x + -20) = 0

Reorder the terms:
2x(9 + x)(7x + -20) = 0

Reorder the terms:
2x(9 + x)(-20 + 7x) = 0

Multiply (9 + x) * (-20 + 7x)
2x(9(-20 + 7x) + x(-20 + 7x)) = 0
2x((-20 * 9 + 7x * 9) + x(-20 + 7x)) = 0
2x((-180 + 63x) + x(-20 + 7x)) = 0
2x(-180 + 63x + (-20 * x + 7x * x)) = 0
2x(-180 + 63x + (-20x + 7x2)) = 0

Combine like terms: 63x + -20x = 43x
2x(-180 + 43x + 7x2) = 0
(-180 * 2x + 43x * 2x + 7x2 * 2x) = 0
(-360x + 86x2 + 14x3) = 0

Solving
-360x + 86x2 + 14x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-180 + 43x + 7x2) = 0

Factor a trinomial.
2x((-9 + -1x)(20 + -7x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

Subproblem 3
Set the factor '(20 + -7x)' equal to zero and attempt to solve:

Simplifying
20 + -7x = 0

Solving
20 + -7x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -7x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -7x = 0 + -20
-7x = 0 + -20

Combine like terms: 0 + -20 = -20
-7x = -20

Divide each side by '-7'.
x = 2.857142857

Simplifying
x = 2.857142857
Solution
x = {0, -9, 2.857142857}

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