1.4*x^2+840=x^2+1200

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Solution for 1.4*x^2+840=x^2+1200 equation: 


Simplifying
1.4x2 + 840 = x2 + 1200

Reorder the terms:
840 + 1.4x2 = x2 + 1200

Reorder the terms:
840 + 1.4x2 = 1200 + x2

Solving
840 + 1.4x2 = 1200 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
840 + 1.4x2 + -1x2 = 1200 + x2 + -1x2

Combine like terms: 1.4x2 + -1x2 = 0.4x2
840 + 0.4x2 = 1200 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
840 + 0.4x2 = 1200 + 0
840 + 0.4x2 = 1200

Add '-840' to each side of the equation.
840 + -840 + 0.4x2 = 1200 + -840

Combine like terms: 840 + -840 = 0
0 + 0.4x2 = 1200 + -840
0.4x2 = 1200 + -840

Combine like terms: 1200 + -840 = 360
0.4x2 = 360

Divide each side by '0.4'.
x2 = 900

Simplifying
x2 = 900

Take the square root of each side:
x = {-30, 30}

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