32*(x*x)+44*x+15=0

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Solution for 32*(x*x)+44*x+15=0 equation:


Simplifying
32(x * x) + 44x + 15 = 0

Multiply x * x
32(x2) + 44x + 15 = 0

Reorder the terms:
15 + 44x + 32x2 = 0

Solving
15 + 44x + 32x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + 4x)(5 + 8x) = 0

Subproblem 1

Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75

Subproblem 2

Set the factor '(5 + 8x)' equal to zero and attempt to solve: Simplifying 5 + 8x = 0 Solving 5 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 0 + -5 8x = 0 + -5 Combine like terms: 0 + -5 = -5 8x = -5 Divide each side by '8'. x = -0.625 Simplifying x = -0.625

Solution

x = {-0.75, -0.625}

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