5x^2-48x+112=0

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Solution for 5x^2-48x+112=0 equation:


Simplifying
5x2 + -48x + 112 = 0

Reorder the terms:
112 + -48x + 5x2 = 0

Solving
112 + -48x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -1x)(28 + -5x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(28 + -5x)' equal to zero and attempt to solve: Simplifying 28 + -5x = 0 Solving 28 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -5x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -5x = 0 + -28 -5x = 0 + -28 Combine like terms: 0 + -28 = -28 -5x = -28 Divide each side by '-5'. x = 5.6 Simplifying x = 5.6

Solution

x = {4, 5.6}

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