3(15x^2-2x-1)=34x+2

Solution for 3(15x^2-2x-1)=34x+2 equation:

Simplifying
3(15x2 + -2x + -1) = 34x + 2

Reorder the terms:
3(-1 + -2x + 15x2) = 34x + 2
(-1 * 3 + -2x * 3 + 15x2 * 3) = 34x + 2
(-3 + -6x + 45x2) = 34x + 2

Reorder the terms:
-3 + -6x + 45x2 = 2 + 34x

Solving
-3 + -6x + 45x2 = 2 + 34x

Solving for variable 'x'.

Reorder the terms:
-3 + -2 + -6x + -34x + 45x2 = 2 + 34x + -2 + -34x

Combine like terms: -3 + -2 = -5
-5 + -6x + -34x + 45x2 = 2 + 34x + -2 + -34x

Combine like terms: -6x + -34x = -40x
-5 + -40x + 45x2 = 2 + 34x + -2 + -34x

Reorder the terms:
-5 + -40x + 45x2 = 2 + -2 + 34x + -34x

Combine like terms: 2 + -2 = 0
-5 + -40x + 45x2 = 0 + 34x + -34x
-5 + -40x + 45x2 = 34x + -34x

Combine like terms: 34x + -34x = 0
-5 + -40x + 45x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-1 + -8x + 9x2) = 0

Factor a trinomial.
5((-1 + -9x)(1 + -1x)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-1 + -9x)' equal to zero and attempt to solve:

Simplifying
-1 + -9x = 0

Solving
-1 + -9x = 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 + -9x = 0 + 1

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

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

Divide each side by '-9'.
x = -0.1111111111

Simplifying
x = -0.1111111111
Subproblem 2
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
Solution
x = {-0.1111111111, 1}