-32x^2-44x=-63

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Solution for -32x^2-44x=-63 equation:


Simplifying
-32x2 + -44x = -63

Reorder the terms:
-44x + -32x2 = -63

Solving
-44x + -32x2 = -63

Solving for variable 'x'.

Reorder the terms:
63 + -44x + -32x2 = -63 + 63

Combine like terms: -63 + 63 = 0
63 + -44x + -32x2 = 0

Factor a trinomial.
(7 + -8x)(9 + 4x) = 0

Subproblem 1

Set the factor '(7 + -8x)' equal to zero and attempt to solve: Simplifying 7 + -8x = 0 Solving 7 + -8x = 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 + -8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 0 + -7 -8x = 0 + -7 Combine like terms: 0 + -7 = -7 -8x = -7 Divide each side by '-8'. x = 0.875 Simplifying x = 0.875

Subproblem 2

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

Solution

x = {0.875, -2.25}

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