15x^4-43x^3+22x^2=0

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Solution for 15x^4-43x^3+22x^2=0 equation:


Simplifying
15x4 + -43x3 + 22x2 = 0

Reorder the terms:
22x2 + -43x3 + 15x4 = 0

Solving
22x2 + -43x3 + 15x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(22 + -43x + 15x2) = 0

Factor a trinomial.
x2((2 + -3x)(11 + -5x)) = 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 '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667

Subproblem 3

Set the factor '(11 + -5x)' equal to zero and attempt to solve: Simplifying 11 + -5x = 0 Solving 11 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -5x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -5x = 0 + -11 -5x = 0 + -11 Combine like terms: 0 + -11 = -11 -5x = -11 Divide each side by '-5'. x = 2.2 Simplifying x = 2.2

Solution

x = {0, 0.6666666667, 2.2}

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