3x(x+5)-3x*2=-30

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Solution for 3x(x+5)-3x*2=-30 equation:


Simplifying
3x(x + 5) + -3x * 2 = -30

Reorder the terms:
3x(5 + x) + -3x * 2 = -30
(5 * 3x + x * 3x) + -3x * 2 = -30
(15x + 3x2) + -3x * 2 = -30

Reorder the terms for easier multiplication:
15x + 3x2 + -3 * 2x = -30

Multiply -3 * 2
15x + 3x2 + -6x = -30

Reorder the terms:
15x + -6x + 3x2 = -30

Combine like terms: 15x + -6x = 9x
9x + 3x2 = -30

Solving
9x + 3x2 = -30

Solving for variable 'x'.

Reorder the terms:
30 + 9x + 3x2 = -30 + 30

Combine like terms: -30 + 30 = 0
30 + 9x + 3x2 = 0

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

Ignore the factor 3.

Subproblem 1

Set the factor '(10 + 3x + x2)' equal to zero and attempt to solve: Simplifying 10 + 3x + x2 = 0 Solving 10 + 3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + 3x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + 3x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x + x2 = 0 + -10 3x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 3x + x2 = -10 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = -10 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -10 + 2.25 Combine like terms: -10 + 2.25 = -7.75 2.25 + 3x + x2 = -7.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -7.75 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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