9x^2+32x=16

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Solution for 9x^2+32x=16 equation:


Simplifying
9x2 + 32x = 16

Reorder the terms:
32x + 9x2 = 16

Solving
32x + 9x2 = 16

Solving for variable 'x'.

Reorder the terms:
-16 + 32x + 9x2 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + 32x + 9x2 = 0

Factor a trinomial.
(-4 + -1x)(4 + -9x) = 0

Subproblem 1

Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4

Subproblem 2

Set the factor '(4 + -9x)' equal to zero and attempt to solve: Simplifying 4 + -9x = 0 Solving 4 + -9x = 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 + -9x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 0 + -4 -9x = 0 + -4 Combine like terms: 0 + -4 = -4 -9x = -4 Divide each side by '-9'. x = 0.4444444444 Simplifying x = 0.4444444444

Solution

x = {-4, 0.4444444444}

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