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

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


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

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

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

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

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

Solving
-56 + -10x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1

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

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

Solution

x = {-4, 14}

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