9x[x+1]=4

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Solution for 9x[x+1]=4 equation:


Simplifying
9x[x + 1] = 4

Reorder the terms:
9x[1 + x] = 4
[1 * 9x + x * 9x] = 4
[9x + 9x2] = 4

Solving
9x + 9x2 = 4

Solving for variable 'x'.

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

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

Factor a trinomial.
(-4 + -3x)(1 + -3x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333

Solution

x = {-1.333333333, 0.3333333333}

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