(2x-3)(x)=44

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Solution for (2x-3)(x)=44 equation:


Simplifying
(2x + -3)(x) = 44

Reorder the terms:
(-3 + 2x)(x) = 44

Reorder the terms for easier multiplication:
x(-3 + 2x) = 44
(-3 * x + 2x * x) = 44
(-3x + 2x2) = 44

Solving
-3x + 2x2 = 44

Solving for variable 'x'.

Reorder the terms:
-44 + -3x + 2x2 = 44 + -44

Combine like terms: 44 + -44 = 0
-44 + -3x + 2x2 = 0

Factor a trinomial.
(-4 + -1x)(11 + -2x) = 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 '(11 + -2x)' equal to zero and attempt to solve: Simplifying 11 + -2x = 0 Solving 11 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 0 + -11 -2x = 0 + -11 Combine like terms: 0 + -11 = -11 -2x = -11 Divide each side by '-2'. x = 5.5 Simplifying x = 5.5

Solution

x = {-4, 5.5}

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