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

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


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

Reorder the terms:
10 + -2x = -2x(x + 5)

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

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

Solving for variable 'x'.

Combine like terms: -2x + 10x = 8x
10 + 8x + 2x2 = -10x + -2x2 + 10x + 2x2

Reorder the terms:
10 + 8x + 2x2 = -10x + 10x + -2x2 + 2x2

Combine like terms: -10x + 10x = 0
10 + 8x + 2x2 = 0 + -2x2 + 2x2
10 + 8x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
10 + 8x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + 4x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(5 + 4x + x2)' equal to zero and attempt to solve: Simplifying 5 + 4x + x2 = 0 Solving 5 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + 4x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + 4x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x + x2 = 0 + -5 4x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 4x + x2 = -5 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -5 + 4 Reorder the terms: 4 + 4x + x2 = -5 + 4 Combine like terms: -5 + 4 = -1 4 + 4x + x2 = -1 Factor a perfect square on the left side: (x + 2)(x + 2) = -1 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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