5x^2-28x=-32

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Solution for 5x^2-28x=-32 equation:


Simplifying
5x2 + -28x = -32

Reorder the terms:
-28x + 5x2 = -32

Solving
-28x + 5x2 = -32

Solving for variable 'x'.

Reorder the terms:
32 + -28x + 5x2 = -32 + 32

Combine like terms: -32 + 32 = 0
32 + -28x + 5x2 = 0

Factor a trinomial.
(8 + -5x)(4 + -1x) = 0

Subproblem 1

Set the factor '(8 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {1.6, 4}

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