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

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


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

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

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

Multiply (14 + x) * (-4 + x)
(14(-4 + x) + x(-4 + x)) = 0
((-4 * 14 + x * 14) + x(-4 + x)) = 0
((-56 + 14x) + x(-4 + x)) = 0
(-56 + 14x + (-4 * x + x * x)) = 0
(-56 + 14x + (-4x + x2)) = 0

Combine like terms: 14x + -4x = 10x
(-56 + 10x + x2) = 0

Solving
-56 + 10x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1

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 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {-14, 4}

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