7(2x+1)(x-10)=0

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Solution for 7(2x+1)(x-10)=0 equation: 


Simplifying
7(2x + 1)(x + -10) = 0

Reorder the terms:
7(1 + 2x)(x + -10) = 0

Reorder the terms:
7(1 + 2x)(-10 + x) = 0

Multiply (1 + 2x) * (-10 + x)
7(1(-10 + x) + 2x * (-10 + x)) = 0
7((-10 * 1 + x * 1) + 2x * (-10 + x)) = 0
7((-10 + 1x) + 2x * (-10 + x)) = 0
7(-10 + 1x + (-10 * 2x + x * 2x)) = 0
7(-10 + 1x + (-20x + 2x2)) = 0

Combine like terms: 1x + -20x = -19x
7(-10 + -19x + 2x2) = 0
(-10 * 7 + -19x * 7 + 2x2 * 7) = 0
(-70 + -133x + 14x2) = 0

Solving
-70 + -133x + 14x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-10 + -19x + 2x2) = 0

Factor a trinomial.
7((-1 + -2x)(10 + -1x)) = 0

Ignore the factor 7.

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

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 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 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1

Combine like terms: 0 + 1 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

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 = {-0.5, 10}

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