4x(x+8)(x-14)=0

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Solution for 4x(x+8)(x-14)=0 equation: 


Simplifying
4x(x + 8)(x + -14) = 0

Reorder the terms:
4x(8 + x)(x + -14) = 0

Reorder the terms:
4x(8 + x)(-14 + x) = 0

Multiply (8 + x) * (-14 + x)
4x(8(-14 + x) + x(-14 + x)) = 0
4x((-14 * 8 + x * 8) + x(-14 + x)) = 0
4x((-112 + 8x) + x(-14 + x)) = 0
4x(-112 + 8x + (-14 * x + x * x)) = 0
4x(-112 + 8x + (-14x + x2)) = 0

Combine like terms: 8x + -14x = -6x
4x(-112 + -6x + x2) = 0
(-112 * 4x + -6x * 4x + x2 * 4x) = 0
(-448x + -24x2 + 4x3) = 0

Solving
-448x + -24x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-112 + -6x + x2) = 0

Factor a trinomial.
4x((-8 + -1x)(14 + -1x)) = 0

Ignore the factor 4.

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 '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 3
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {0, -8, 14}

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