5x^2-32x=-51

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Solution for 5x^2-32x=-51 equation:


Simplifying
5x2 + -32x = -51

Reorder the terms:
-32x + 5x2 = -51

Solving
-32x + 5x2 = -51

Solving for variable 'x'.

Reorder the terms:
51 + -32x + 5x2 = -51 + 51

Combine like terms: -51 + 51 = 0
51 + -32x + 5x2 = 0

Factor a trinomial.
(3 + -1x)(17 + -5x) = 0

Subproblem 1

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Subproblem 2

Set the factor '(17 + -5x)' equal to zero and attempt to solve: Simplifying 17 + -5x = 0 Solving 17 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -5x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -5x = 0 + -17 -5x = 0 + -17 Combine like terms: 0 + -17 = -17 -5x = -17 Divide each side by '-5'. x = 3.4 Simplifying x = 3.4

Solution

x = {3, 3.4}

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