2x(x+7)(x-5)=0

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Solution for 2x(x+7)(x-5)=0 equation: 


Simplifying
2x(x + 7)(x + -5) = 0

Reorder the terms:
2x(7 + x)(x + -5) = 0

Reorder the terms:
2x(7 + x)(-5 + x) = 0

Multiply (7 + x) * (-5 + x)
2x(7(-5 + x) + x(-5 + x)) = 0
2x((-5 * 7 + x * 7) + x(-5 + x)) = 0
2x((-35 + 7x) + x(-5 + x)) = 0
2x(-35 + 7x + (-5 * x + x * x)) = 0
2x(-35 + 7x + (-5x + x2)) = 0

Combine like terms: 7x + -5x = 2x
2x(-35 + 2x + x2) = 0
(-35 * 2x + 2x * 2x + x2 * 2x) = 0
(-70x + 4x2 + 2x3) = 0

Solving
-70x + 4x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-35 + 2x + x2) = 0

Factor a trinomial.
2x((-7 + -1x)(5 + -1x)) = 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 '(-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 3
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, -7, 5}

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