3x(x-5)-3x*-3x=-30

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Solution for 3x(x-5)-3x*-3x=-30 equation:


Simplifying
3x(x + -5) + -3x * -3x = -30

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

Reorder the terms for easier multiplication:
-15x + 3x2 + -3 * -3x * x = -30

Multiply -3 * -3
-15x + 3x2 + 9x * x = -30

Multiply x * x
-15x + 3x2 + 9x2 = -30

Combine like terms: 3x2 + 9x2 = 12x2
-15x + 12x2 = -30

Solving
-15x + 12x2 = -30

Solving for variable 'x'.

Reorder the terms:
30 + -15x + 12x2 = -30 + 30

Combine like terms: -30 + 30 = 0
30 + -15x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(10 + -5x + 4x2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(10 + -5x + 4x2)' equal to zero and attempt to solve: Simplifying 10 + -5x + 4x2 = 0 Solving 10 + -5x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2.5 + -1.25x + x2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + -1.25x + -2.5 + x2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + -1.25x + x2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -1.25x + x2 = 0 + -2.5 -1.25x + x2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 -1.25x + x2 = -2.5 The x term is -1.25x. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25x + 0.390625 + x2 = -2.5 + 0.390625 Reorder the terms: 0.390625 + -1.25x + x2 = -2.5 + 0.390625 Combine like terms: -2.5 + 0.390625 = -2.109375 0.390625 + -1.25x + x2 = -2.109375 Factor a perfect square on the left side: (x + -0.625)(x + -0.625) = -2.109375 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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