(x+3)(x-4)=44

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Solution for (x+3)(x-4)=44 equation:


Simplifying
(x + 3)(x + -4) = 44

Reorder the terms:
(3 + x)(x + -4) = 44

Reorder the terms:
(3 + x)(-4 + x) = 44

Multiply (3 + x) * (-4 + x)
(3(-4 + x) + x(-4 + x)) = 44
((-4 * 3 + x * 3) + x(-4 + x)) = 44
((-12 + 3x) + x(-4 + x)) = 44
(-12 + 3x + (-4 * x + x * x)) = 44
(-12 + 3x + (-4x + x2)) = 44

Combine like terms: 3x + -4x = -1x
(-12 + -1x + x2) = 44

Solving
-12 + -1x + x2 = 44

Solving for variable 'x'.

Reorder the terms:
-12 + -44 + -1x + x2 = 44 + -44

Combine like terms: -12 + -44 = -56
-56 + -1x + x2 = 44 + -44

Combine like terms: 44 + -44 = 0
-56 + -1x + x2 = 0

Factor a trinomial.
(-7 + -1x)(8 + -1x) = 0

Subproblem 1

Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 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 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7

Subproblem 2

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Solution

x = {-7, 8}

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