-2x(-5x+1)+12=-10

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Solution for -2x(-5x+1)+12=-10 equation:


Simplifying
-2x(-5x + 1) + 12 = -10

Reorder the terms:
-2x(1 + -5x) + 12 = -10
(1 * -2x + -5x * -2x) + 12 = -10
(-2x + 10x2) + 12 = -10

Reorder the terms:
12 + -2x + 10x2 = -10

Solving
12 + -2x + 10x2 = -10

Solving for variable 'x'.

Reorder the terms:
12 + 10 + -2x + 10x2 = -10 + 10

Combine like terms: 12 + 10 = 22
22 + -2x + 10x2 = -10 + 10

Combine like terms: -10 + 10 = 0
22 + -2x + 10x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(11 + -1x + 5x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(11 + -1x + 5x2)' equal to zero and attempt to solve:

Simplifying
11 + -1x + 5x2 = 0

Solving
11 + -1x + 5x2 = 0

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

Divide each side by '5'.
2.2 + -0.2x + x2 = 0

Move the constant term to the right:

Add '-2.2' to each side of the equation.
2.2 + -0.2x + -2.2 + x2 = 0 + -2.2

Reorder the terms:
2.2 + -2.2 + -0.2x + x2 = 0 + -2.2

Combine like terms: 2.2 + -2.2 = 0.0
0.0 + -0.2x + x2 = 0 + -2.2
-0.2x + x2 = 0 + -2.2

Combine like terms: 0 + -2.2 = -2.2
-0.2x + x2 = -2.2

The x term is -0.2x.  Take half its coefficient (-0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
-0.2x + 0.01 + x2 = -2.2 + 0.01

Reorder the terms:
0.01 + -0.2x + x2 = -2.2 + 0.01

Combine like terms: -2.2 + 0.01 = -2.19
0.01 + -0.2x + x2 = -2.19

Factor a perfect square on the left side:
(x + -0.1)(x + -0.1) = -2.19

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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