-15x=-5(3x+7)5(3x+7)

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Solution for -15x=-5(3x+7)5(3x+7) equation: 


Simplifying
-15x = -5(3x + 7) * 5(3x + 7)

Reorder the terms:
-15x = -5(7 + 3x) * 5(3x + 7)

Reorder the terms:
-15x = -5(7 + 3x) * 5(7 + 3x)

Reorder the terms for easier multiplication:
-15x = -5 * 5(7 + 3x)(7 + 3x)

Multiply -5 * 5
-15x = -25(7 + 3x)(7 + 3x)

Multiply (7 + 3x) * (7 + 3x)
-15x = -25(7(7 + 3x) + 3x * (7 + 3x))
-15x = -25((7 * 7 + 3x * 7) + 3x * (7 + 3x))
-15x = -25((49 + 21x) + 3x * (7 + 3x))
-15x = -25(49 + 21x + (7 * 3x + 3x * 3x))
-15x = -25(49 + 21x + (21x + 9x2))

Combine like terms: 21x + 21x = 42x
-15x = -25(49 + 42x + 9x2)
-15x = (49 * -25 + 42x * -25 + 9x2 * -25)
-15x = (-1225 + -1050x + -225x2)

Solving
-15x = -1225 + -1050x + -225x2

Solving for variable 'x'.

Reorder the terms:
1225 + -15x + 1050x + 225x2 = -1225 + -1050x + -225x2 + 1225 + 1050x + 225x2

Combine like terms: -15x + 1050x = 1035x
1225 + 1035x + 225x2 = -1225 + -1050x + -225x2 + 1225 + 1050x + 225x2

Reorder the terms:
1225 + 1035x + 225x2 = -1225 + 1225 + -1050x + 1050x + -225x2 + 225x2

Combine like terms: -1225 + 1225 = 0
1225 + 1035x + 225x2 = 0 + -1050x + 1050x + -225x2 + 225x2
1225 + 1035x + 225x2 = -1050x + 1050x + -225x2 + 225x2

Combine like terms: -1050x + 1050x = 0
1225 + 1035x + 225x2 = 0 + -225x2 + 225x2
1225 + 1035x + 225x2 = -225x2 + 225x2

Combine like terms: -225x2 + 225x2 = 0
1225 + 1035x + 225x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(245 + 207x + 45x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(245 + 207x + 45x2)' equal to zero and attempt to solve:

Simplifying
245 + 207x + 45x2 = 0

Solving
245 + 207x + 45x2 = 0

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

Divide each side by '45'.
5.444444444 + 4.6x + x2 = 0

Move the constant term to the right:

Add '-5.444444444' to each side of the equation.
5.444444444 + 4.6x + -5.444444444 + x2 = 0 + -5.444444444

Reorder the terms:
5.444444444 + -5.444444444 + 4.6x + x2 = 0 + -5.444444444

Combine like terms: 5.444444444 + -5.444444444 = 0.000000000
0.000000000 + 4.6x + x2 = 0 + -5.444444444
4.6x + x2 = 0 + -5.444444444

Combine like terms: 0 + -5.444444444 = -5.444444444
4.6x + x2 = -5.444444444

The x term is 4.6x.  Take half its coefficient (2.3).
Square it (5.29) and add it to both sides.

Add '5.29' to each side of the equation.
4.6x + 5.29 + x2 = -5.444444444 + 5.29

Reorder the terms:
5.29 + 4.6x + x2 = -5.444444444 + 5.29

Combine like terms: -5.444444444 + 5.29 = -0.154444444
5.29 + 4.6x + x2 = -0.154444444

Factor a perfect square on the left side:
(x + 2.3)(x + 2.3) = -0.154444444

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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