R(x)=-0.5x^3+2.6x^2+3x

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Solution for R(x)=-0.5x^3+2.6x^2+3x equation:


Simplifying
R(x) = -0.5x3 + 2.6x2 + 3x

Multiply R * x
xR = -0.5x3 + 2.6x2 + 3x

Reorder the terms:
xR = 3x + 2.6x2 + -0.5x3

Solving
xR = 3x + 2.6x2 + -0.5x3

Solving for variable 'x'.

Reorder the terms:
-3x + xR + -2.6x2 + 0.5x3 = 3x + 2.6x2 + -0.5x3 + -3x + -2.6x2 + 0.5x3

Reorder the terms:
-3x + xR + -2.6x2 + 0.5x3 = 3x + -3x + 2.6x2 + -2.6x2 + -0.5x3 + 0.5x3

Combine like terms: 3x + -3x = 0
-3x + xR + -2.6x2 + 0.5x3 = 0 + 2.6x2 + -2.6x2 + -0.5x3 + 0.5x3
-3x + xR + -2.6x2 + 0.5x3 = 2.6x2 + -2.6x2 + -0.5x3 + 0.5x3

Combine like terms: 2.6x2 + -2.6x2 = 0.0
-3x + xR + -2.6x2 + 0.5x3 = 0.0 + -0.5x3 + 0.5x3
-3x + xR + -2.6x2 + 0.5x3 = -0.5x3 + 0.5x3

Combine like terms: -0.5x3 + 0.5x3 = 0.0
-3x + xR + -2.6x2 + 0.5x3 = 0.0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3 + R + -2.6x + 0.5x2) = 0.0

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 '(-3 + R + -2.6x + 0.5x2)' equal to zero and attempt to solve: Simplifying -3 + R + -2.6x + 0.5x2 = 0 Solving -3 + R + -2.6x + 0.5x2 = 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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