18x^2-(3x-2)(6x-1)=-17

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Solution for 18x^2-(3x-2)(6x-1)=-17 equation:


Simplifying
18x2 + -1(3x + -2)(6x + -1) = -17

Reorder the terms:
18x2 + -1(-2 + 3x)(6x + -1) = -17

Reorder the terms:
18x2 + -1(-2 + 3x)(-1 + 6x) = -17

Multiply (-2 + 3x) * (-1 + 6x)
18x2 + -1(-2(-1 + 6x) + 3x * (-1 + 6x)) = -17
18x2 + -1((-1 * -2 + 6x * -2) + 3x * (-1 + 6x)) = -17
18x2 + -1((2 + -12x) + 3x * (-1 + 6x)) = -17
18x2 + -1(2 + -12x + (-1 * 3x + 6x * 3x)) = -17
18x2 + -1(2 + -12x + (-3x + 18x2)) = -17

Combine like terms: -12x + -3x = -15x
18x2 + -1(2 + -15x + 18x2) = -17
18x2 + (2 * -1 + -15x * -1 + 18x2 * -1) = -17
18x2 + (-2 + 15x + -18x2) = -17

Reorder the terms:
-2 + 15x + 18x2 + -18x2 = -17

Combine like terms: 18x2 + -18x2 = 0
-2 + 15x + 0 = -17
-2 + 15x = -17

Solving
-2 + 15x = -17

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 15x = -17 + 2

Combine like terms: -2 + 2 = 0
0 + 15x = -17 + 2
15x = -17 + 2

Combine like terms: -17 + 2 = -15
15x = -15

Divide each side by '15'.
x = -1

Simplifying
x = -1

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