0.9e-1*x^2-6*x+70=0.9e-1*x^2+x+7

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Solution for 0.9e-1*x^2-6*x+70=0.9e-1*x^2+x+7 equation: 


Simplifying
0.9e + -1x2 + -6x + 70 = 0.9e + -1x2 + x + 7

Reorder the terms:
70 + 0.9e + -6x + -1x2 = 0.9e + -1x2 + x + 7

Reorder the terms:
70 + 0.9e + -6x + -1x2 = 7 + 0.9e + x + -1x2

Add '-0.9e' to each side of the equation.
70 + 0.9e + -6x + -0.9e + -1x2 = 7 + 0.9e + x + -0.9e + -1x2

Reorder the terms:
70 + 0.9e + -0.9e + -6x + -1x2 = 7 + 0.9e + x + -0.9e + -1x2

Combine like terms: 0.9e + -0.9e = 0.0
70 + 0.0 + -6x + -1x2 = 7 + 0.9e + x + -0.9e + -1x2
70 + -6x + -1x2 = 7 + 0.9e + x + -0.9e + -1x2

Reorder the terms:
70 + -6x + -1x2 = 7 + 0.9e + -0.9e + x + -1x2

Combine like terms: 0.9e + -0.9e = 0.0
70 + -6x + -1x2 = 7 + 0.0 + x + -1x2
70 + -6x + -1x2 = 7 + x + -1x2

Add 'x2' to each side of the equation.
70 + -6x + -1x2 + x2 = 7 + x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
70 + -6x + 0 = 7 + x + -1x2 + x2
70 + -6x = 7 + x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
70 + -6x = 7 + x + 0
70 + -6x = 7 + x

Solving
70 + -6x = 7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
70 + -6x + -1x = 7 + x + -1x

Combine like terms: -6x + -1x = -7x
70 + -7x = 7 + x + -1x

Combine like terms: x + -1x = 0
70 + -7x = 7 + 0
70 + -7x = 7

Add '-70' to each side of the equation.
70 + -70 + -7x = 7 + -70

Combine like terms: 70 + -70 = 0
0 + -7x = 7 + -70
-7x = 7 + -70

Combine like terms: 7 + -70 = -63
-7x = -63

Divide each side by '-7'.
x = 9

Simplifying
x = 9

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