(x+3)(x-10)=0

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Solution for (x+3)(x-10)=0 equation:


Simplifying
(x + 3)(x + -10) = 0

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

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

Multiply (3 + x) * (-10 + x)
(3(-10 + x) + x(-10 + x)) = 0
((-10 * 3 + x * 3) + x(-10 + x)) = 0
((-30 + 3x) + x(-10 + x)) = 0
(-30 + 3x + (-10 * x + x * x)) = 0
(-30 + 3x + (-10x + x2)) = 0

Combine like terms: 3x + -10x = -7x
(-30 + -7x + x2) = 0

Solving
-30 + -7x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -1x)(10 + -1x) = 0

Subproblem 1

Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3

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 = {-3, 10}

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