9x(x+2)=40

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Solution for 9x(x+2)=40 equation:


Simplifying
9x(x + 2) = 40

Reorder the terms:
9x(2 + x) = 40
(2 * 9x + x * 9x) = 40
(18x + 9x2) = 40

Solving
18x + 9x2 = 40

Solving for variable 'x'.

Reorder the terms:
-40 + 18x + 9x2 = 40 + -40

Combine like terms: 40 + -40 = 0
-40 + 18x + 9x2 = 0

Factor a trinomial.
(-10 + -3x)(4 + -3x) = 0

Subproblem 1

Set the factor '(-10 + -3x)' equal to zero and attempt to solve: Simplifying -10 + -3x = 0 Solving -10 + -3x = 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 + -3x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = 0 + 10 -3x = 0 + 10 Combine like terms: 0 + 10 = 10 -3x = 10 Divide each side by '-3'. x = -3.333333333 Simplifying x = -3.333333333

Subproblem 2

Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333

Solution

x = {-3.333333333, 1.333333333}

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