x^2+6x+234=x^2+24x+24

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Solution for x^2+6x+234=x^2+24x+24 equation:


Simplifying
x2 + 6x + 234 = x2 + 24x + 24

Reorder the terms:
234 + 6x + x2 = x2 + 24x + 24

Reorder the terms:
234 + 6x + x2 = 24 + 24x + x2

Add '-1x2' to each side of the equation.
234 + 6x + x2 + -1x2 = 24 + 24x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
234 + 6x + 0 = 24 + 24x + x2 + -1x2
234 + 6x = 24 + 24x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
234 + 6x = 24 + 24x + 0
234 + 6x = 24 + 24x

Solving
234 + 6x = 24 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
234 + 6x + -24x = 24 + 24x + -24x

Combine like terms: 6x + -24x = -18x
234 + -18x = 24 + 24x + -24x

Combine like terms: 24x + -24x = 0
234 + -18x = 24 + 0
234 + -18x = 24

Add '-234' to each side of the equation.
234 + -234 + -18x = 24 + -234

Combine like terms: 234 + -234 = 0
0 + -18x = 24 + -234
-18x = 24 + -234

Combine like terms: 24 + -234 = -210
-18x = -210

Divide each side by '-18'.
x = 11.66666667

Simplifying
x = 11.66666667

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