-18+48=-3x(x+5)

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Solution for -18+48=-3x(x+5) equation: 


Simplifying
-18 + 48 = -3x(x + 5)

Combine like terms: -18 + 48 = 30
30 = -3x(x + 5)

Reorder the terms:
30 = -3x(5 + x)
30 = (5 * -3x + x * -3x)
30 = (-15x + -3x2)

Solving
30 = -15x + -3x2

Solving for variable 'x'.

Reorder the terms:
30 + 15x + 3x2 = -15x + 15x + -3x2 + 3x2

Combine like terms: -15x + 15x = 0
30 + 15x + 3x2 = 0 + -3x2 + 3x2
30 + 15x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
30 + 15x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(10 + 5x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(10 + 5x + x2)' equal to zero and attempt to solve:

Simplifying
10 + 5x + x2 = 0

Solving
10 + 5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + 5x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + 5x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 5x + x2 = 0 + -10
5x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
5x + x2 = -10

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = -10 + 6.25

Reorder the terms:
6.25 + 5x + x2 = -10 + 6.25

Combine like terms: -10 + 6.25 = -3.75
6.25 + 5x + x2 = -3.75

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = -3.75

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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