(6x*3x-1)-(3x*x-2)=135

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Solution for (6x*3x-1)-(3x*x-2)=135 equation:


Simplifying
(6x * 3x + -1) + -1(3x * x + -2) = 135

Reorder the terms for easier multiplication:
(6 * 3x * x + -1) + -1(3x * x + -2) = 135

Multiply 6 * 3
(18x * x + -1) + -1(3x * x + -2) = 135

Multiply x * x
(18x2 + -1) + -1(3x * x + -2) = 135

Reorder the terms:
(-1 + 18x2) + -1(3x * x + -2) = 135

Remove parenthesis around (-1 + 18x2)
-1 + 18x2 + -1(3x * x + -2) = 135

Multiply x * x
-1 + 18x2 + -1(3x2 + -2) = 135

Reorder the terms:
-1 + 18x2 + -1(-2 + 3x2) = 135
-1 + 18x2 + (-2 * -1 + 3x2 * -1) = 135
-1 + 18x2 + (2 + -3x2) = 135

Reorder the terms:
-1 + 2 + 18x2 + -3x2 = 135

Combine like terms: -1 + 2 = 1
1 + 18x2 + -3x2 = 135

Combine like terms: 18x2 + -3x2 = 15x2
1 + 15x2 = 135

Solving
1 + 15x2 = 135

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 15x2 = 135 + -1

Combine like terms: 1 + -1 = 0
0 + 15x2 = 135 + -1
15x2 = 135 + -1

Combine like terms: 135 + -1 = 134
15x2 = 134

Divide each side by '15'.
x2 = 8.933333333

Simplifying
x2 = 8.933333333

Take the square root of each side:
x = {-2.988868236, 2.988868236}

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