44=4x^2-48x+184

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Solution for 44=4x^2-48x+184 equation:


Simplifying
44 = 4x2 + -48x + 184

Reorder the terms:
44 = 184 + -48x + 4x2

Solving
44 = 184 + -48x + 4x2

Solving for variable 'x'.

Combine like terms: 44 + -184 = -140
-140 + 48x + -4x2 = 184 + -48x + 4x2 + -184 + 48x + -4x2

Reorder the terms:
-140 + 48x + -4x2 = 184 + -184 + -48x + 48x + 4x2 + -4x2

Combine like terms: 184 + -184 = 0
-140 + 48x + -4x2 = 0 + -48x + 48x + 4x2 + -4x2
-140 + 48x + -4x2 = -48x + 48x + 4x2 + -4x2

Combine like terms: -48x + 48x = 0
-140 + 48x + -4x2 = 0 + 4x2 + -4x2
-140 + 48x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-140 + 48x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-35 + 12x + -1x2) = 0

Factor a trinomial.
4((-7 + x)(5 + -1x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-7 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 x = 7 Simplifying x = 7

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {7, 5}

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