x(4x-9)=90

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Solution for x(4x-9)=90 equation:


Simplifying
x(4x + -9) = 90

Reorder the terms:
x(-9 + 4x) = 90
(-9 * x + 4x * x) = 90
(-9x + 4x2) = 90

Solving
-9x + 4x2 = 90

Solving for variable 'x'.

Reorder the terms:
-90 + -9x + 4x2 = 90 + -90

Combine like terms: 90 + -90 = 0
-90 + -9x + 4x2 = 0

Factor a trinomial.
(-15 + -4x)(6 + -1x) = 0

Subproblem 1

Set the factor '(-15 + -4x)' equal to zero and attempt to solve: Simplifying -15 + -4x = 0 Solving -15 + -4x = 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 + -4x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -4x = 0 + 15 -4x = 0 + 15 Combine like terms: 0 + 15 = 15 -4x = 15 Divide each side by '-4'. x = -3.75 Simplifying x = -3.75

Subproblem 2

Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Solution

x = {-3.75, 6}

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