7x^2+8x-9-10x^2=

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Solution for 7x^2+8x-9-10x^2= equation:


Simplifying
7x2 + 8x + -9 + -10x2 = 0

Reorder the terms:
-9 + 8x + 7x2 + -10x2 = 0

Combine like terms: 7x2 + -10x2 = -3x2
-9 + 8x + -3x2 = 0

Solving
-9 + 8x + -3x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
3 + -2.666666667x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2.666666667x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -2.666666667x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2.666666667x + x2 = 0 + -3
-2.666666667x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2.666666667x + x2 = -3

The x term is -2.666666667x.  Take half its coefficient (-1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
-2.666666667x + 1.777777780 + x2 = -3 + 1.777777780

Reorder the terms:
1.777777780 + -2.666666667x + x2 = -3 + 1.777777780

Combine like terms: -3 + 1.777777780 = -1.22222222
1.777777780 + -2.666666667x + x2 = -1.22222222

Factor a perfect square on the left side:
(x + -1.333333334)(x + -1.333333334) = -1.22222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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