(x+10)(x-15)=0

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Solution for (x+10)(x-15)=0 equation:


Simplifying
(x + 10)(x + -15) = 0

Reorder the terms:
(10 + x)(x + -15) = 0

Reorder the terms:
(10 + x)(-15 + x) = 0

Multiply (10 + x) * (-15 + x)
(10(-15 + x) + x(-15 + x)) = 0
((-15 * 10 + x * 10) + x(-15 + x)) = 0
((-150 + 10x) + x(-15 + x)) = 0
(-150 + 10x + (-15 * x + x * x)) = 0
(-150 + 10x + (-15x + x2)) = 0

Combine like terms: 10x + -15x = -5x
(-150 + -5x + x2) = 0

Solving
-150 + -5x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-10 + -1x)(15 + -1x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15

Solution

x = {-10, 15}

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