5(10x^2-5x+5)-(2x^2+4x-8)=0

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Solution for 5(10x^2-5x+5)-(2x^2+4x-8)=0 equation:


Simplifying
5(10x2 + -5x + 5) + -1(2x2 + 4x + -8) = 0

Reorder the terms:
5(5 + -5x + 10x2) + -1(2x2 + 4x + -8) = 0
(5 * 5 + -5x * 5 + 10x2 * 5) + -1(2x2 + 4x + -8) = 0
(25 + -25x + 50x2) + -1(2x2 + 4x + -8) = 0

Reorder the terms:
25 + -25x + 50x2 + -1(-8 + 4x + 2x2) = 0
25 + -25x + 50x2 + (-8 * -1 + 4x * -1 + 2x2 * -1) = 0
25 + -25x + 50x2 + (8 + -4x + -2x2) = 0

Reorder the terms:
25 + 8 + -25x + -4x + 50x2 + -2x2 = 0

Combine like terms: 25 + 8 = 33
33 + -25x + -4x + 50x2 + -2x2 = 0

Combine like terms: -25x + -4x = -29x
33 + -29x + 50x2 + -2x2 = 0

Combine like terms: 50x2 + -2x2 = 48x2
33 + -29x + 48x2 = 0

Solving
33 + -29x + 48x2 = 0

Solving for variable 'x'.

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

Divide each side by '48'.
0.6875 + -0.6041666667x + x2 = 0

Move the constant term to the right:

Add '-0.6875' to each side of the equation.
0.6875 + -0.6041666667x + -0.6875 + x2 = 0 + -0.6875

Reorder the terms:
0.6875 + -0.6875 + -0.6041666667x + x2 = 0 + -0.6875

Combine like terms: 0.6875 + -0.6875 = 0.0000
0.0000 + -0.6041666667x + x2 = 0 + -0.6875
-0.6041666667x + x2 = 0 + -0.6875

Combine like terms: 0 + -0.6875 = -0.6875
-0.6041666667x + x2 = -0.6875

The x term is -0.6041666667x.  Take half its coefficient (-0.3020833334).
Square it (0.09125434032) and add it to both sides.

Add '0.09125434032' to each side of the equation.
-0.6041666667x + 0.09125434032 + x2 = -0.6875 + 0.09125434032

Reorder the terms:
0.09125434032 + -0.6041666667x + x2 = -0.6875 + 0.09125434032

Combine like terms: -0.6875 + 0.09125434032 = -0.59624565968
0.09125434032 + -0.6041666667x + x2 = -0.59624565968

Factor a perfect square on the left side:
(x + -0.3020833334)(x + -0.3020833334) = -0.59624565968

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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