5x^2+22x=48

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Solution for 5x^2+22x=48 equation:


Simplifying
5x2 + 22x = 48

Reorder the terms:
22x + 5x2 = 48

Solving
22x + 5x2 = 48

Solving for variable 'x'.

Reorder the terms:
-48 + 22x + 5x2 = 48 + -48

Combine like terms: 48 + -48 = 0
-48 + 22x + 5x2 = 0

Factor a trinomial.
(-6 + -1x)(8 + -5x) = 0

Subproblem 1

Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6

Subproblem 2

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

Solution

x = {-6, 1.6}

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