2x(3x-4)-30=6(x^2-1)

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Solution for 2x(3x-4)-30=6(x^2-1) equation:


Simplifying
2x(3x + -4) + -30 = 6(x2 + -1)

Reorder the terms:
2x(-4 + 3x) + -30 = 6(x2 + -1)
(-4 * 2x + 3x * 2x) + -30 = 6(x2 + -1)
(-8x + 6x2) + -30 = 6(x2 + -1)

Reorder the terms:
-30 + -8x + 6x2 = 6(x2 + -1)

Reorder the terms:
-30 + -8x + 6x2 = 6(-1 + x2)
-30 + -8x + 6x2 = (-1 * 6 + x2 * 6)
-30 + -8x + 6x2 = (-6 + 6x2)

Add '-6x2' to each side of the equation.
-30 + -8x + 6x2 + -6x2 = -6 + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-30 + -8x + 0 = -6 + 6x2 + -6x2
-30 + -8x = -6 + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-30 + -8x = -6 + 0
-30 + -8x = -6

Solving
-30 + -8x = -6

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + -8x = -6 + 30

Combine like terms: -30 + 30 = 0
0 + -8x = -6 + 30
-8x = -6 + 30

Combine like terms: -6 + 30 = 24
-8x = 24

Divide each side by '-8'.
x = -3

Simplifying
x = -3

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