7(x+10)(x-1)=0

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Solution for 7(x+10)(x-1)=0 equation: 


Simplifying
7(x + 10)(x + -1) = 0

Reorder the terms:
7(10 + x)(x + -1) = 0

Reorder the terms:
7(10 + x)(-1 + x) = 0

Multiply (10 + x) * (-1 + x)
7(10(-1 + x) + x(-1 + x)) = 0
7((-1 * 10 + x * 10) + x(-1 + x)) = 0
7((-10 + 10x) + x(-1 + x)) = 0
7(-10 + 10x + (-1 * x + x * x)) = 0
7(-10 + 10x + (-1x + x2)) = 0

Combine like terms: 10x + -1x = 9x
7(-10 + 9x + x2) = 0
(-10 * 7 + 9x * 7 + x2 * 7) = 0
(-70 + 63x + 7x2) = 0

Solving
-70 + 63x + 7x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-10 + 9x + x2) = 0

Factor a trinomial.
7((-10 + -1x)(1 + -1x)) = 0

Ignore the factor 7.

Subproblem 1
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

Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-10, 1}

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