(x-10)(x-4)=40

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Solution for (x-10)(x-4)=40 equation: 


Simplifying
(x + -10)(x + -4) = 40

Reorder the terms:
(-10 + x)(x + -4) = 40

Reorder the terms:
(-10 + x)(-4 + x) = 40

Multiply (-10 + x) * (-4 + x)
(-10(-4 + x) + x(-4 + x)) = 40
((-4 * -10 + x * -10) + x(-4 + x)) = 40
((40 + -10x) + x(-4 + x)) = 40
(40 + -10x + (-4 * x + x * x)) = 40
(40 + -10x + (-4x + x2)) = 40

Combine like terms: -10x + -4x = -14x
(40 + -14x + x2) = 40

Add '-40' to each side of the equation.
40 + -14x + -40 + x2 = 40 + -40

Reorder the terms:
40 + -40 + -14x + x2 = 40 + -40

Combine like terms: 40 + -40 = 0
0 + -14x + x2 = 40 + -40
-14x + x2 = 40 + -40

Combine like terms: 40 + -40 = 0
-14x + x2 = 0

Solving
-14x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-14 + x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-14 + x)' equal to zero and attempt to solve:

Simplifying
-14 + x = 0

Solving
-14 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '14' to each side of the equation.
-14 + 14 + x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + x = 0 + 14
x = 0 + 14

Combine like terms: 0 + 14 = 14
x = 14

Simplifying
x = 14
Solution
x = {0, 14}

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