2x(x-9)-7(x-9)=

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Solution for 2x(x-9)-7(x-9)= equation: 


Simplifying
2x(x + -9) + -7(x + -9) = 0

Reorder the terms:
2x(-9 + x) + -7(x + -9) = 0
(-9 * 2x + x * 2x) + -7(x + -9) = 0
(-18x + 2x2) + -7(x + -9) = 0

Reorder the terms:
-18x + 2x2 + -7(-9 + x) = 0
-18x + 2x2 + (-9 * -7 + x * -7) = 0
-18x + 2x2 + (63 + -7x) = 0

Reorder the terms:
63 + -18x + -7x + 2x2 = 0

Combine like terms: -18x + -7x = -25x
63 + -25x + 2x2 = 0

Solving
63 + -25x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -2x)(9 + -1x) = 0


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

Simplifying
7 + -2x = 0

Solving
7 + -2x = 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 + -2x = 0 + -7

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

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

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {3.5, 9}

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