0=(x-11)(x-4)

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Solution for 0=(x-11)(x-4) equation:


Simplifying
0 = (x + -11)(x + -4)

Reorder the terms:
0 = (-11 + x)(x + -4)

Reorder the terms:
0 = (-11 + x)(-4 + x)

Multiply (-11 + x) * (-4 + x)
0 = (-11(-4 + x) + x(-4 + x))
0 = ((-4 * -11 + x * -11) + x(-4 + x))
0 = ((44 + -11x) + x(-4 + x))
0 = (44 + -11x + (-4 * x + x * x))
0 = (44 + -11x + (-4x + x2))

Combine like terms: -11x + -4x = -15x
0 = (44 + -15x + x2)

Solving
0 = 44 + -15x + x2

Solving for variable 'x'.

Combine like terms: 0 + -44 = -44
-44 + 15x + -1x2 = 44 + -15x + x2 + -44 + 15x + -1x2

Reorder the terms:
-44 + 15x + -1x2 = 44 + -44 + -15x + 15x + x2 + -1x2

Combine like terms: 44 + -44 = 0
-44 + 15x + -1x2 = 0 + -15x + 15x + x2 + -1x2
-44 + 15x + -1x2 = -15x + 15x + x2 + -1x2

Combine like terms: -15x + 15x = 0
-44 + 15x + -1x2 = 0 + x2 + -1x2
-44 + 15x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-44 + 15x + -1x2 = 0

Factor a trinomial.
(-11 + x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-11 + x)' equal to zero and attempt to solve:

Simplifying
-11 + x = 0

Solving
-11 + x = 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 + x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + x = 0 + 11
x = 0 + 11

Combine like terms: 0 + 11 = 11
x = 11

Simplifying
x = 11

Subproblem 2
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
Solution
x = {11, 4}

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