x(2x-9)=45

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Solution for x(2x-9)=45 equation:


Simplifying
x(2x + -9) = 45

Reorder the terms:
x(-9 + 2x) = 45
(-9 * x + 2x * x) = 45
(-9x + 2x2) = 45

Solving
-9x + 2x2 = 45

Solving for variable 'x'.

Reorder the terms:
-45 + -9x + 2x2 = 45 + -45

Combine like terms: 45 + -45 = 0
-45 + -9x + 2x2 = 0

Factor a trinomial.
(-3 + -1x)(15 + -2x) = 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 '(15 + -2x)' equal to zero and attempt to solve: Simplifying 15 + -2x = 0 Solving 15 + -2x = 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 + -2x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 0 + -15 -2x = 0 + -15 Combine like terms: 0 + -15 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5

Solution

x = {-3, 7.5}

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