(10x^2+x+6)(-3x^3+x^2)=

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Solution for (10x^2+x+6)(-3x^3+x^2)= equation:


Simplifying
(10x2 + x + 6)(-3x3 + x2) = 0

Reorder the terms:
(6 + x + 10x2)(-3x3 + x2) = 0

Reorder the terms:
(6 + x + 10x2)(x2 + -3x3) = 0

Multiply (6 + x + 10x2) * (x2 + -3x3)
(6(x2 + -3x3) + x(x2 + -3x3) + 10x2 * (x2 + -3x3)) = 0
((x2 * 6 + -3x3 * 6) + x(x2 + -3x3) + 10x2 * (x2 + -3x3)) = 0
((6x2 + -18x3) + x(x2 + -3x3) + 10x2 * (x2 + -3x3)) = 0
(6x2 + -18x3 + (x2 * x + -3x3 * x) + 10x2 * (x2 + -3x3)) = 0
(6x2 + -18x3 + (x3 + -3x4) + 10x2 * (x2 + -3x3)) = 0
(6x2 + -18x3 + x3 + -3x4 + (x2 * 10x2 + -3x3 * 10x2)) = 0
(6x2 + -18x3 + x3 + -3x4 + (10x4 + -30x5)) = 0

Combine like terms: -18x3 + x3 = -17x3
(6x2 + -17x3 + -3x4 + 10x4 + -30x5) = 0

Combine like terms: -3x4 + 10x4 = 7x4
(6x2 + -17x3 + 7x4 + -30x5) = 0

Solving
6x2 + -17x3 + 7x4 + -30x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(6 + -17x + 7x2 + -30x3) = 0

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(6 + -17x + 7x2 + -30x3)' equal to zero and attempt to solve: Simplifying 6 + -17x + 7x2 + -30x3 = 0 Solving 6 + -17x + 7x2 + -30x3 = 0 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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