(9x+5)(x-5)=0

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Solution for (9x+5)(x-5)=0 equation:


Simplifying
(9x + 5)(x + -5) = 0

Reorder the terms:
(5 + 9x)(x + -5) = 0

Reorder the terms:
(5 + 9x)(-5 + x) = 0

Multiply (5 + 9x) * (-5 + x)
(5(-5 + x) + 9x * (-5 + x)) = 0
((-5 * 5 + x * 5) + 9x * (-5 + x)) = 0
((-25 + 5x) + 9x * (-5 + x)) = 0
(-25 + 5x + (-5 * 9x + x * 9x)) = 0
(-25 + 5x + (-45x + 9x2)) = 0

Combine like terms: 5x + -45x = -40x
(-25 + -40x + 9x2) = 0

Solving
-25 + -40x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -9x)(5 + -1x) = 0

Subproblem 1

Set the factor '(-5 + -9x)' equal to zero and attempt to solve: Simplifying -5 + -9x = 0 Solving -5 + -9x = 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 + -9x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -9x = 0 + 5 -9x = 0 + 5 Combine like terms: 0 + 5 = 5 -9x = 5 Divide each side by '-9'. x = -0.5555555556 Simplifying x = -0.5555555556

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {-0.5555555556, 5}

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