(2x+5)(x-10)=0

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Solution for (2x+5)(x-10)=0 equation:


Simplifying
(2x + 5)(x + -10) = 0

Reorder the terms:
(5 + 2x)(x + -10) = 0

Reorder the terms:
(5 + 2x)(-10 + x) = 0

Multiply (5 + 2x) * (-10 + x)
(5(-10 + x) + 2x * (-10 + x)) = 0
((-10 * 5 + x * 5) + 2x * (-10 + x)) = 0
((-50 + 5x) + 2x * (-10 + x)) = 0
(-50 + 5x + (-10 * 2x + x * 2x)) = 0
(-50 + 5x + (-20x + 2x2)) = 0

Combine like terms: 5x + -20x = -15x
(-50 + -15x + 2x2) = 0

Solving
-50 + -15x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -2x)(10 + -1x) = 0

Subproblem 1

Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5

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 = {-2.5, 10}

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