x(4x-3)(x+10)=0

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Solution for x(4x-3)(x+10)=0 equation: 


Simplifying
x(4x + -3)(x + 10) = 0

Reorder the terms:
x(-3 + 4x)(x + 10) = 0

Reorder the terms:
x(-3 + 4x)(10 + x) = 0

Multiply (-3 + 4x) * (10 + x)
x(-3(10 + x) + 4x * (10 + x)) = 0
x((10 * -3 + x * -3) + 4x * (10 + x)) = 0
x((-30 + -3x) + 4x * (10 + x)) = 0
x(-30 + -3x + (10 * 4x + x * 4x)) = 0
x(-30 + -3x + (40x + 4x2)) = 0

Combine like terms: -3x + 40x = 37x
x(-30 + 37x + 4x2) = 0
(-30 * x + 37x * x + 4x2 * x) = 0
(-30x + 37x2 + 4x3) = 0

Solving
-30x + 37x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-30 + 37x + 4x2) = 0

Factor a trinomial.
x((-10 + -1x)(3 + -4x)) = 0


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 '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

Subproblem 3
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 = {0, -10, 0.75}

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