-5.65E-9x^2-4.68168E-8x+(1.363763E-7+i)=0

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Solution for -5.65E-9x^2-4.68168E-8x+(1.363763E-7+i)=0 equation: 


Simplifying
-5.65E + -9x2 + -4.68168E + -8x + (1.363763E + -7 + i) = 0

Reorder the terms:
-5.65E + -9x2 + -4.68168E + -8x + (-7 + 1.363763E + i) = 0

Remove parenthesis around (-7 + 1.363763E + i)
-5.65E + -9x2 + -4.68168E + -8x + -7 + 1.363763E + i = 0

Reorder the terms:
-7 + -5.65E + -4.68168E + 1.363763E + i + -8x + -9x2 = 0

Combine like terms: -5.65E + -4.68168E = -10.33168E
-7 + -10.33168E + 1.363763E + i + -8x + -9x2 = 0

Combine like terms: -10.33168E + 1.363763E = -8.967917E
-7 + -8.967917E + i + -8x + -9x2 = 0

Solving
-7 + -8.967917E + i + -8x + -9x2 = 0

Solving for variable 'E'.

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

Add '7' to each side of the equation.
-7 + -8.967917E + i + -8x + 7 + -9x2 = 0 + 7

Reorder the terms:
-7 + 7 + -8.967917E + i + -8x + -9x2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -8.967917E + i + -8x + -9x2 = 0 + 7
-8.967917E + i + -8x + -9x2 = 0 + 7

Combine like terms: 0 + 7 = 7
-8.967917E + i + -8x + -9x2 = 7

Add '-1i' to each side of the equation.
-8.967917E + i + -8x + -1i + -9x2 = 7 + -1i

Reorder the terms:
-8.967917E + i + -1i + -8x + -9x2 = 7 + -1i

Combine like terms: i + -1i = 0
-8.967917E + 0 + -8x + -9x2 = 7 + -1i
-8.967917E + -8x + -9x2 = 7 + -1i

Add '8x' to each side of the equation.
-8.967917E + -8x + 8x + -9x2 = 7 + -1i + 8x

Combine like terms: -8x + 8x = 0
-8.967917E + 0 + -9x2 = 7 + -1i + 8x
-8.967917E + -9x2 = 7 + -1i + 8x

Add '9x2' to each side of the equation.
-8.967917E + -9x2 + 9x2 = 7 + -1i + 8x + 9x2

Combine like terms: -9x2 + 9x2 = 0
-8.967917E + 0 = 7 + -1i + 8x + 9x2
-8.967917E = 7 + -1i + 8x + 9x2

Divide each side by '-8.967917'.
E = -0.7805603018 + 0.1115086145i + -0.8920689163x + -1.003577531x2

Simplifying
E = -0.7805603018 + 0.1115086145i + -0.8920689163x + -1.003577531x2

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