15x^2-70x+240=0

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Solution for 15x^2-70x+240=0 equation: 


Simplifying
15x2 + -70x + 240 = 0

Reorder the terms:
240 + -70x + 15x2 = 0

Solving
240 + -70x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(48 + -14x + 3x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(48 + -14x + 3x2)' equal to zero and attempt to solve:

Simplifying
48 + -14x + 3x2 = 0

Solving
48 + -14x + 3x2 = 0

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

Divide each side by '3'.
16 + -4.666666667x + x2 = 0

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + -4.666666667x + -16 + x2 = 0 + -16

Reorder the terms:
16 + -16 + -4.666666667x + x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -4.666666667x + x2 = 0 + -16
-4.666666667x + x2 = 0 + -16

Combine like terms: 0 + -16 = -16
-4.666666667x + x2 = -16

The x term is -4.666666667x.  Take half its coefficient (-2.333333334).
Square it (5.444444448) and add it to both sides.

Add '5.444444448' to each side of the equation.
-4.666666667x + 5.444444448 + x2 = -16 + 5.444444448

Reorder the terms:
5.444444448 + -4.666666667x + x2 = -16 + 5.444444448

Combine like terms: -16 + 5.444444448 = -10.555555552
5.444444448 + -4.666666667x + x2 = -10.555555552

Factor a perfect square on the left side:
(x + -2.333333334)(x + -2.333333334) = -10.555555552

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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