3x^2-32x=-45

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Solution for 3x^2-32x=-45 equation:


Simplifying
3x2 + -32x = -45

Reorder the terms:
-32x + 3x2 = -45

Solving
-32x + 3x2 = -45

Solving for variable 'x'.

Reorder the terms:
45 + -32x + 3x2 = -45 + 45

Combine like terms: -45 + 45 = 0
45 + -32x + 3x2 = 0

Factor a trinomial.
(5 + -3x)(9 + -1x) = 0

Subproblem 1

Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667

Subproblem 2

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {1.666666667, 9}

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