4x^2+5+x=x+30

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Solution for 4x^2+5+x=x+30 equation: 


Simplifying
4x2 + 5 + x = x + 30

Reorder the terms:
5 + x + 4x2 = x + 30

Reorder the terms:
5 + x + 4x2 = 30 + x

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

Combine like terms: x + -1x = 0
5 + 0 + 4x2 = 30 + x + -1x
5 + 4x2 = 30 + x + -1x

Combine like terms: x + -1x = 0
5 + 4x2 = 30 + 0
5 + 4x2 = 30

Solving
5 + 4x2 = 30

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 4x2 = 30 + -5

Combine like terms: 5 + -5 = 0
0 + 4x2 = 30 + -5
4x2 = 30 + -5

Combine like terms: 30 + -5 = 25
4x2 = 25

Divide each side by '4'.
x2 = 6.25

Simplifying
x2 = 6.25

Take the square root of each side:
x = {-2.5, 2.5}

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