solve(x+6)(x-5)(x-10)=0

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Solution for solve(x+6)(x-5)(x-10)=0 equation:


Simplifying
solve(x + 6)(x + -5)(x + -10) = 0

Reorder the terms:
elosv(6 + x)(x + -5)(x + -10) = 0

Reorder the terms:
elosv(6 + x)(-5 + x)(x + -10) = 0

Reorder the terms:
elosv(6 + x)(-5 + x)(-10 + x) = 0

Multiply (6 + x) * (-5 + x)
elosv(6(-5 + x) + x(-5 + x))(-10 + x) = 0
elosv((-5 * 6 + x * 6) + x(-5 + x))(-10 + x) = 0
elosv((-30 + 6x) + x(-5 + x))(-10 + x) = 0
elosv(-30 + 6x + (-5 * x + x * x))(-10 + x) = 0
elosv(-30 + 6x + (-5x + x2))(-10 + x) = 0

Combine like terms: 6x + -5x = 1x
elosv(-30 + 1x + x2)(-10 + x) = 0

Multiply (-30 + 1x + x2) * (-10 + x)
elosv(-30(-10 + x) + 1x * (-10 + x) + x2(-10 + x)) = 0
elosv((-10 * -30 + x * -30) + 1x * (-10 + x) + x2(-10 + x)) = 0
elosv((300 + -30x) + 1x * (-10 + x) + x2(-10 + x)) = 0
elosv(300 + -30x + (-10 * 1x + x * 1x) + x2(-10 + x)) = 0
elosv(300 + -30x + (-10x + 1x2) + x2(-10 + x)) = 0
elosv(300 + -30x + -10x + 1x2 + (-10 * x2 + x * x2)) = 0
elosv(300 + -30x + -10x + 1x2 + (-10x2 + x3)) = 0

Combine like terms: -30x + -10x = -40x
elosv(300 + -40x + 1x2 + -10x2 + x3) = 0

Combine like terms: 1x2 + -10x2 = -9x2
elosv(300 + -40x + -9x2 + x3) = 0
(300 * elosv + -40x * elosv + -9x2 * elosv + x3 * elosv) = 0
(300elosv + -40elosvx + -9elosvx2 + elosvx3) = 0

Solving
300elosv + -40elosvx + -9elosvx2 + elosvx3 = 0

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'elosv'.
elosv(300 + -40x + -9x2 + x3) = 0

Subproblem 1

Set the factor 'elosv' equal to zero and attempt to solve: Simplifying elosv = 0 Solving elosv = 0 Move all terms containing e to the left, all other terms to the right. Simplifying elosv = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(300 + -40x + -9x2 + x3)' equal to zero and attempt to solve: Simplifying 300 + -40x + -9x2 + x3 = 0 Solving 300 + -40x + -9x2 + x3 = 0 Move all terms containing e to the left, all other terms to the right. Add '-300' to each side of the equation. 300 + -40x + -9x2 + -300 + x3 = 0 + -300 Reorder the terms: 300 + -300 + -40x + -9x2 + x3 = 0 + -300 Combine like terms: 300 + -300 = 0 0 + -40x + -9x2 + x3 = 0 + -300 -40x + -9x2 + x3 = 0 + -300 Combine like terms: 0 + -300 = -300 -40x + -9x2 + x3 = -300 Add '40x' to each side of the equation. -40x + -9x2 + 40x + x3 = -300 + 40x Reorder the terms: -40x + 40x + -9x2 + x3 = -300 + 40x Combine like terms: -40x + 40x = 0 0 + -9x2 + x3 = -300 + 40x -9x2 + x3 = -300 + 40x Add '9x2' to each side of the equation. -9x2 + 9x2 + x3 = -300 + 40x + 9x2 Combine like terms: -9x2 + 9x2 = 0 0 + x3 = -300 + 40x + 9x2 x3 = -300 + 40x + 9x2 Add '-1x3' to each side of the equation. x3 + -1x3 = -300 + 40x + 9x2 + -1x3 Combine like terms: x3 + -1x3 = 0 0 = -300 + 40x + 9x2 + -1x3 Simplifying 0 = -300 + 40x + 9x2 + -1x3 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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