49x^2-126x+81=(7x-9)

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Solution for 49x^2-126x+81=(7x-9) equation: 


Simplifying
49x2 + -126x + 81 = (7x + -9)

Reorder the terms:
81 + -126x + 49x2 = (7x + -9)

Reorder the terms:
81 + -126x + 49x2 = (-9 + 7x)

Remove parenthesis around (-9 + 7x)
81 + -126x + 49x2 = -9 + 7x

Solving
81 + -126x + 49x2 = -9 + 7x

Solving for variable 'x'.

Reorder the terms:
81 + 9 + -126x + -7x + 49x2 = -9 + 7x + 9 + -7x

Combine like terms: 81 + 9 = 90
90 + -126x + -7x + 49x2 = -9 + 7x + 9 + -7x

Combine like terms: -126x + -7x = -133x
90 + -133x + 49x2 = -9 + 7x + 9 + -7x

Reorder the terms:
90 + -133x + 49x2 = -9 + 9 + 7x + -7x

Combine like terms: -9 + 9 = 0
90 + -133x + 49x2 = 0 + 7x + -7x
90 + -133x + 49x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
90 + -133x + 49x2 = 0

Factor a trinomial.
(9 + -7x)(10 + -7x) = 0


Subproblem 1
Set the factor '(9 + -7x)' equal to zero and attempt to solve:

Simplifying
9 + -7x = 0

Solving
9 + -7x = 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 + -7x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -7x = 0 + -9
-7x = 0 + -9

Combine like terms: 0 + -9 = -9
-7x = -9

Divide each side by '-7'.
x = 1.285714286

Simplifying
x = 1.285714286

Subproblem 2
Set the factor '(10 + -7x)' equal to zero and attempt to solve:

Simplifying
10 + -7x = 0

Solving
10 + -7x = 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 + -7x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -7x = 0 + -10
-7x = 0 + -10

Combine like terms: 0 + -10 = -10
-7x = -10

Divide each side by '-7'.
x = 1.428571429

Simplifying
x = 1.428571429
Solution
x = {1.285714286, 1.428571429}

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