32x^2+4x+72x+9=0

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Solution for 32x^2+4x+72x+9=0 equation:


Simplifying
32x2 + 4x + 72x + 9 = 0

Reorder the terms:
9 + 4x + 72x + 32x2 = 0

Combine like terms: 4x + 72x = 76x
9 + 76x + 32x2 = 0

Solving
9 + 76x + 32x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + 4x)(1 + 8x) = 0

Subproblem 1

Set the factor '(9 + 4x)' equal to zero and attempt to solve: Simplifying 9 + 4x = 0 Solving 9 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 0 + -9 4x = 0 + -9 Combine like terms: 0 + -9 = -9 4x = -9 Divide each side by '4'. x = -2.25 Simplifying x = -2.25

Subproblem 2

Set the factor '(1 + 8x)' equal to zero and attempt to solve: Simplifying 1 + 8x = 0 Solving 1 + 8x = 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 + 8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 0 + -1 8x = 0 + -1 Combine like terms: 0 + -1 = -1 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125

Solution

x = {-2.25, -0.125}

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