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

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


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

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

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

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

Combine like terms: 4x + -10x = -6x
(-40 + -6x + x2) = 0

Solving
-40 + -6x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -1x)(10 + -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 '(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

Solution

x = {-4, 10}

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