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

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


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

Reorder the terms:
1056 = (-3 + x)(x + -4)

Reorder the terms:
1056 = (-3 + x)(-4 + x)

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

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

Solving
1056 = 12 + -7x + x2

Solving for variable 'x'.

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

Reorder the terms:
1044 + 7x + -1x2 = 12 + -12 + -7x + 7x + x2 + -1x2

Combine like terms: 12 + -12 = 0
1044 + 7x + -1x2 = 0 + -7x + 7x + x2 + -1x2
1044 + 7x + -1x2 = -7x + 7x + x2 + -1x2

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

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

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


Subproblem 1
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

Subproblem 2
Set the factor '(29 + x)' equal to zero and attempt to solve:

Simplifying
29 + x = 0

Solving
29 + x = 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 + x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + x = 0 + -29
x = 0 + -29

Combine like terms: 0 + -29 = -29
x = -29

Simplifying
x = -29
Solution
x = {36, -29}

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