x(x-5)(x+14)=0

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Solution for x(x-5)(x+14)=0 equation:


Simplifying
x(x + -5)(x + 14) = 0

Reorder the terms:
x(-5 + x)(x + 14) = 0

Reorder the terms:
x(-5 + x)(14 + x) = 0

Multiply (-5 + x) * (14 + x)
x(-5(14 + x) + x(14 + x)) = 0
x((14 * -5 + x * -5) + x(14 + x)) = 0
x((-70 + -5x) + x(14 + x)) = 0
x(-70 + -5x + (14 * x + x * x)) = 0
x(-70 + -5x + (14x + x2)) = 0

Combine like terms: -5x + 14x = 9x
x(-70 + 9x + x2) = 0
(-70 * x + 9x * x + x2 * x) = 0
(-70x + 9x2 + x3) = 0

Solving
-70x + 9x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-70 + 9x + x2) = 0

Factor a trinomial.
x((-14 + -1x)(5 + -1x)) = 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 '(-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

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, -14, 5}

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