(3-x)(4-x)=1056

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Solution for (3-x)(4-x)=1056 equation:


Simplifying
(3 + -1x)(4 + -1x) = 1056

Multiply (3 + -1x) * (4 + -1x)
(3(4 + -1x) + -1x * (4 + -1x)) = 1056
((4 * 3 + -1x * 3) + -1x * (4 + -1x)) = 1056
((12 + -3x) + -1x * (4 + -1x)) = 1056
(12 + -3x + (4 * -1x + -1x * -1x)) = 1056
(12 + -3x + (-4x + 1x2)) = 1056

Combine like terms: -3x + -4x = -7x
(12 + -7x + 1x2) = 1056

Solving
12 + -7x + 1x2 = 1056

Solving for variable 'x'.

Reorder the terms:
12 + -1056 + -7x + 1x2 = 1056 + -1056

Combine like terms: 12 + -1056 = -1044
-1044 + -7x + 1x2 = 1056 + -1056

Combine like terms: 1056 + -1056 = 0
-1044 + -7x + 1x2 = 0

Factor a trinomial.
(-29 + -1x)(36 + -1x) = 0

Subproblem 1

Set the factor '(-29 + -1x)' equal to zero and attempt to solve: Simplifying -29 + -1x = 0 Solving -29 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -1x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -1x = 0 + 29 -1x = 0 + 29 Combine like terms: 0 + 29 = 29 -1x = 29 Divide each side by '-1'. x = -29 Simplifying x = -29

Subproblem 2

Set the factor '(36 + -1x)' equal to zero and attempt to solve: Simplifying 36 + -1x = 0 Solving 36 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = 0 + -36 -1x = 0 + -36 Combine like terms: 0 + -36 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36

Solution

x = {-29, 36}

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