-4(-2x+6)+10=4x+3x(5x-1)

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Solution for -4(-2x+6)+10=4x+3x(5x-1) equation: 


Simplifying
-4(-2x + 6) + 10 = 4x + 3x(5x + -1)

Reorder the terms:
-4(6 + -2x) + 10 = 4x + 3x(5x + -1)
(6 * -4 + -2x * -4) + 10 = 4x + 3x(5x + -1)
(-24 + 8x) + 10 = 4x + 3x(5x + -1)

Reorder the terms:
-24 + 10 + 8x = 4x + 3x(5x + -1)

Combine like terms: -24 + 10 = -14
-14 + 8x = 4x + 3x(5x + -1)

Reorder the terms:
-14 + 8x = 4x + 3x(-1 + 5x)
-14 + 8x = 4x + (-1 * 3x + 5x * 3x)
-14 + 8x = 4x + (-3x + 15x2)

Combine like terms: 4x + -3x = 1x
-14 + 8x = 1x + 15x2

Solving
-14 + 8x = 1x + 15x2

Solving for variable 'x'.

Combine like terms: 8x + -1x = 7x
-14 + 7x + -15x2 = 1x + 15x2 + -1x + -15x2

Reorder the terms:
-14 + 7x + -15x2 = 1x + -1x + 15x2 + -15x2

Combine like terms: 1x + -1x = 0
-14 + 7x + -15x2 = 0 + 15x2 + -15x2
-14 + 7x + -15x2 = 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
-14 + 7x + -15x2 = 0

Begin completing the square.  Divide all terms by
-15 the coefficient of the squared term: 

Divide each side by '-15'.
0.9333333333 + -0.4666666667x + x2 = 0

Move the constant term to the right:

Add '-0.9333333333' to each side of the equation.
0.9333333333 + -0.4666666667x + -0.9333333333 + x2 = 0 + -0.9333333333

Reorder the terms:
0.9333333333 + -0.9333333333 + -0.4666666667x + x2 = 0 + -0.9333333333

Combine like terms: 0.9333333333 + -0.9333333333 = 0.0000000000
0.0000000000 + -0.4666666667x + x2 = 0 + -0.9333333333
-0.4666666667x + x2 = 0 + -0.9333333333

Combine like terms: 0 + -0.9333333333 = -0.9333333333
-0.4666666667x + x2 = -0.9333333333

The x term is -0.4666666667x.  Take half its coefficient (-0.2333333334).
Square it (0.05444444448) and add it to both sides.

Add '0.05444444448' to each side of the equation.
-0.4666666667x + 0.05444444448 + x2 = -0.9333333333 + 0.05444444448

Reorder the terms:
0.05444444448 + -0.4666666667x + x2 = -0.9333333333 + 0.05444444448

Combine like terms: -0.9333333333 + 0.05444444448 = -0.87888888882
0.05444444448 + -0.4666666667x + x2 = -0.87888888882

Factor a perfect square on the left side:
(x + -0.2333333334)(x + -0.2333333334) = -0.87888888882

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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