49x^2-112x+64=1

Solution for 49x^2-112x+64=1 equation:

Simplifying
49x2 + -112x + 64 = 1

Reorder the terms:
64 + -112x + 49x2 = 1

Solving
64 + -112x + 49x2 = 1

Solving for variable 'x'.

Reorder the terms:
64 + -1 + -112x + 49x2 = 1 + -1

Combine like terms: 64 + -1 = 63
63 + -112x + 49x2 = 1 + -1

Combine like terms: 1 + -1 = 0
63 + -112x + 49x2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(9 + -16x + 7x2) = 0

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

Ignore the factor 7.
Subproblem 1
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 2
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
Solution
x = {1, 1.285714286}