7x(x-7)+2(x-7)=

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


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

Reorder the terms:
7x(-7 + x) + 2(x + -7) = 0
(-7 * 7x + x * 7x) + 2(x + -7) = 0
(-49x + 7x2) + 2(x + -7) = 0

Reorder the terms:
-49x + 7x2 + 2(-7 + x) = 0
-49x + 7x2 + (-7 * 2 + x * 2) = 0
-49x + 7x2 + (-14 + 2x) = 0

Reorder the terms:
-14 + -49x + 2x + 7x2 = 0

Combine like terms: -49x + 2x = -47x
-14 + -47x + 7x2 = 0

Solving
-14 + -47x + 7x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-2 + -7x)' equal to zero and attempt to solve:

Simplifying
-2 + -7x = 0

Solving
-2 + -7x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -7x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -7x = 0 + 2
-7x = 0 + 2

Combine like terms: 0 + 2 = 2
-7x = 2

Divide each side by '-7'.
x = -0.2857142857

Simplifying
x = -0.2857142857

Subproblem 2
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
Solution
x = {-0.2857142857, 7}

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