(20x^3+12x)-(12x^3-7x^2-7x)=

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Solution for (20x^3+12x)-(12x^3-7x^2-7x)= equation:


Simplifying
(20x3 + 12x) + -1(12x3 + -7x2 + -7x) = 0

Reorder the terms:
(12x + 20x3) + -1(12x3 + -7x2 + -7x) = 0

Remove parenthesis around (12x + 20x3)
12x + 20x3 + -1(12x3 + -7x2 + -7x) = 0

Reorder the terms:
12x + 20x3 + -1(-7x + -7x2 + 12x3) = 0
12x + 20x3 + (-7x * -1 + -7x2 * -1 + 12x3 * -1) = 0
12x + 20x3 + (7x + 7x2 + -12x3) = 0

Reorder the terms:
12x + 7x + 7x2 + 20x3 + -12x3 = 0

Combine like terms: 12x + 7x = 19x
19x + 7x2 + 20x3 + -12x3 = 0

Combine like terms: 20x3 + -12x3 = 8x3
19x + 7x2 + 8x3 = 0

Solving
19x + 7x2 + 8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(19 + 7x + 8x2) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(19 + 7x + 8x2)' equal to zero and attempt to solve: Simplifying 19 + 7x + 8x2 = 0 Solving 19 + 7x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 2.375 + 0.875x + x2 = 0 Move the constant term to the right: Add '-2.375' to each side of the equation. 2.375 + 0.875x + -2.375 + x2 = 0 + -2.375 Reorder the terms: 2.375 + -2.375 + 0.875x + x2 = 0 + -2.375 Combine like terms: 2.375 + -2.375 = 0.000 0.000 + 0.875x + x2 = 0 + -2.375 0.875x + x2 = 0 + -2.375 Combine like terms: 0 + -2.375 = -2.375 0.875x + x2 = -2.375 The x term is 0.875x. Take half its coefficient (0.4375). Square it (0.19140625) and add it to both sides. Add '0.19140625' to each side of the equation. 0.875x + 0.19140625 + x2 = -2.375 + 0.19140625 Reorder the terms: 0.19140625 + 0.875x + x2 = -2.375 + 0.19140625 Combine like terms: -2.375 + 0.19140625 = -2.18359375 0.19140625 + 0.875x + x2 = -2.18359375 Factor a perfect square on the left side: (x + 0.4375)(x + 0.4375) = -2.18359375 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.

Solution

x = {0}

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