4x^2+x-30=3x^2+x+6

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Solution for 4x^2+x-30=3x^2+x+6 equation: 


Simplifying
4x2 + x + -30 = 3x2 + x + 6

Reorder the terms:
-30 + x + 4x2 = 3x2 + x + 6

Reorder the terms:
-30 + x + 4x2 = 6 + x + 3x2

Add '-1x' to each side of the equation.
-30 + x + -1x + 4x2 = 6 + x + -1x + 3x2

Combine like terms: x + -1x = 0
-30 + 0 + 4x2 = 6 + x + -1x + 3x2
-30 + 4x2 = 6 + x + -1x + 3x2

Combine like terms: x + -1x = 0
-30 + 4x2 = 6 + 0 + 3x2
-30 + 4x2 = 6 + 3x2

Solving
-30 + 4x2 = 6 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
-30 + 4x2 + -3x2 = 6 + 3x2 + -3x2

Combine like terms: 4x2 + -3x2 = 1x2
-30 + 1x2 = 6 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-30 + 1x2 = 6 + 0
-30 + 1x2 = 6

Add '30' to each side of the equation.
-30 + 30 + 1x2 = 6 + 30

Combine like terms: -30 + 30 = 0
0 + 1x2 = 6 + 30
1x2 = 6 + 30

Combine like terms: 6 + 30 = 36
1x2 = 36

Divide each side by '1'.
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}

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