9x(x+1)=28

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Solution for 9x(x+1)=28 equation:


Simplifying
9x(x + 1) = 28

Reorder the terms:
9x(1 + x) = 28
(1 * 9x + x * 9x) = 28
(9x + 9x2) = 28

Solving
9x + 9x2 = 28

Solving for variable 'x'.

Reorder the terms:
-28 + 9x + 9x2 = 28 + -28

Combine like terms: 28 + -28 = 0
-28 + 9x + 9x2 = 0

Factor a trinomial.
(-7 + -3x)(4 + -3x) = 0

Subproblem 1

Set the factor '(-7 + -3x)' equal to zero and attempt to solve: Simplifying -7 + -3x = 0 Solving -7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 0 + 7 -3x = 0 + 7 Combine like terms: 0 + 7 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333

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 = {-2.333333333, 1.333333333}

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