6x+1=18x^2+6x-24

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Solution for 6x+1=18x^2+6x-24 equation: 


Simplifying
6x + 1 = 18x2 + 6x + -24

Reorder the terms:
1 + 6x = 18x2 + 6x + -24

Reorder the terms:
1 + 6x = -24 + 6x + 18x2

Add '-6x' to each side of the equation.
1 + 6x + -6x = -24 + 6x + -6x + 18x2

Combine like terms: 6x + -6x = 0
1 + 0 = -24 + 6x + -6x + 18x2
1 = -24 + 6x + -6x + 18x2

Combine like terms: 6x + -6x = 0
1 = -24 + 0 + 18x2
1 = -24 + 18x2

Solving
1 = -24 + 18x2

Solving for variable 'x'.

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

Add '-18x2' to each side of the equation.
1 + -18x2 = -24 + 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
1 + -18x2 = -24 + 0
1 + -18x2 = -24

Add '-1' to each side of the equation.
1 + -1 + -18x2 = -24 + -1

Combine like terms: 1 + -1 = 0
0 + -18x2 = -24 + -1
-18x2 = -24 + -1

Combine like terms: -24 + -1 = -25
-18x2 = -25

Divide each side by '-18'.
x2 = 1.388888889

Simplifying
x2 = 1.388888889

Take the square root of each side:
x = {-1.178511302, 1.178511302}

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