3.8+8.4x*x=x-x+72.4

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Solution for 3.8+8.4x*x=x-x+72.4 equation: 


Simplifying
3.8 + 8.4x * x = x + -1x + 72.4

Multiply x * x
3.8 + 8.4x2 = x + -1x + 72.4

Reorder the terms:
3.8 + 8.4x2 = 72.4 + x + -1x

Combine like terms: x + -1x = 0
3.8 + 8.4x2 = 72.4 + 0
3.8 + 8.4x2 = 72.4

Solving
3.8 + 8.4x2 = 72.4

Solving for variable 'x'.

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

Add '-3.8' to each side of the equation.
3.8 + -3.8 + 8.4x2 = 72.4 + -3.8

Combine like terms: 3.8 + -3.8 = 0.0
0.0 + 8.4x2 = 72.4 + -3.8
8.4x2 = 72.4 + -3.8

Combine like terms: 72.4 + -3.8 = 68.6
8.4x2 = 68.6

Divide each side by '8.4'.
x2 = 8.166666667

Simplifying
x2 = 8.166666667

Take the square root of each side:
x = {-2.857738033, 2.857738033}

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