-49x^2+42x-9=0

Solution for -49x^2+42x-9=0 equation:

Simplifying
-49x2 + 42x + -9 = 0

Reorder the terms:
-9 + 42x + -49x2 = 0

Solving
-9 + 42x + -49x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + 7x)(3 + -7x) = 0

Subproblem 1
Set the factor '(-3 + 7x)' equal to zero and attempt to solve:

Simplifying
-3 + 7x = 0

Solving
-3 + 7x = 0

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

Add '3' to each side of the equation.
-3 + 3 + 7x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 7x = 0 + 3
7x = 0 + 3

Combine like terms: 0 + 3 = 3
7x = 3

Divide each side by '7'.
x = 0.4285714286

Simplifying
x = 0.4285714286
Subproblem 2
Set the factor '(3 + -7x)' equal to zero and attempt to solve:

Simplifying
3 + -7x = 0

Solving
3 + -7x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = 0 + -3
-7x = 0 + -3

Combine like terms: 0 + -3 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286
Solution
x = {0.4285714286, 0.4285714286}