(2x-3)(x+3)=56

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Solution for (2x-3)(x+3)=56 equation:


Simplifying
(2x + -3)(x + 3) = 56

Reorder the terms:
(-3 + 2x)(x + 3) = 56

Reorder the terms:
(-3 + 2x)(3 + x) = 56

Multiply (-3 + 2x) * (3 + x)
(-3(3 + x) + 2x * (3 + x)) = 56
((3 * -3 + x * -3) + 2x * (3 + x)) = 56
((-9 + -3x) + 2x * (3 + x)) = 56
(-9 + -3x + (3 * 2x + x * 2x)) = 56
(-9 + -3x + (6x + 2x2)) = 56

Combine like terms: -3x + 6x = 3x
(-9 + 3x + 2x2) = 56

Solving
-9 + 3x + 2x2 = 56

Solving for variable 'x'.

Reorder the terms:
-9 + -56 + 3x + 2x2 = 56 + -56

Combine like terms: -9 + -56 = -65
-65 + 3x + 2x2 = 56 + -56

Combine like terms: 56 + -56 = 0
-65 + 3x + 2x2 = 0

Factor a trinomial.
(-13 + -2x)(5 + -1x) = 0

Subproblem 1

Set the factor '(-13 + -2x)' equal to zero and attempt to solve: Simplifying -13 + -2x = 0 Solving -13 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -2x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2x = 0 + 13 -2x = 0 + 13 Combine like terms: 0 + 13 = 13 -2x = 13 Divide each side by '-2'. x = -6.5 Simplifying x = -6.5

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 = {-6.5, 5}

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