(7x^2-4x-7x)(7x-7)=

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Solution for (7x^2-4x-7x)(7x-7)= equation: 


Simplifying
(7x2 + -4x + -7x)(7x + -7) = 0

Reorder the terms:
(-4x + -7x + 7x2)(7x + -7) = 0

Combine like terms: -4x + -7x = -11x
(-11x + 7x2)(7x + -7) = 0

Reorder the terms:
(-11x + 7x2)(-7 + 7x) = 0

Multiply (-11x + 7x2) * (-7 + 7x)
(-11x * (-7 + 7x) + 7x2 * (-7 + 7x)) = 0
((-7 * -11x + 7x * -11x) + 7x2 * (-7 + 7x)) = 0
((77x + -77x2) + 7x2 * (-7 + 7x)) = 0
(77x + -77x2 + (-7 * 7x2 + 7x * 7x2)) = 0
(77x + -77x2 + (-49x2 + 49x3)) = 0

Combine like terms: -77x2 + -49x2 = -126x2
(77x + -126x2 + 49x3) = 0

Solving
77x + -126x2 + 49x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x'.
7x(11 + -18x + 7x2) = 0

Factor a trinomial.
7x((1 + -1x)(11 + -7x)) = 0

Ignore the factor 7.

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 '(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

Subproblem 3
Set the factor '(11 + -7x)' equal to zero and attempt to solve:

Simplifying
11 + -7x = 0

Solving
11 + -7x = 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 + -7x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -7x = 0 + -11
-7x = 0 + -11

Combine like terms: 0 + -11 = -11
-7x = -11

Divide each side by '-7'.
x = 1.571428571

Simplifying
x = 1.571428571
Solution
x = {0, 1, 1.571428571}

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