(X-10)(X+7)=

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Solution for (X-10)(X+7)= equation: 


Simplifying
(X + -10)(X + 7) = 0

Reorder the terms:
(-10 + X)(X + 7) = 0

Reorder the terms:
(-10 + X)(7 + X) = 0

Multiply (-10 + X) * (7 + X)
(-10(7 + X) + X(7 + X)) = 0
((7 * -10 + X * -10) + X(7 + X)) = 0
((-70 + -10X) + X(7 + X)) = 0
(-70 + -10X + (7 * X + X * X)) = 0
(-70 + -10X + (7X + X2)) = 0

Combine like terms: -10X + 7X = -3X
(-70 + -3X + X2) = 0

Solving
-70 + -3X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-7 + -1X)(10 + -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 '(10 + -1X)' equal to zero and attempt to solve:

Simplifying
10 + -1X = 0

Solving
10 + -1X = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1X = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1X = 0 + -10
-1X = 0 + -10

Combine like terms: 0 + -10 = -10
-1X = -10

Divide each side by '-1'.
X = 10

Simplifying
X = 10
Solution
X = {-7, 10}

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