36x^4-8x^3-28x^2=0

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Solution for 36x^4-8x^3-28x^2=0 equation:


Simplifying
36x4 + -8x3 + -28x2 = 0

Reorder the terms:
-28x2 + -8x3 + 36x4 = 0

Solving
-28x2 + -8x3 + 36x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(-7 + -2x + 9x2) = 0

Factor a trinomial.
4x2((-7 + -9x)(1 + -1x)) = 0

Ignore the factor 4.

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 '(-7 + -9x)' equal to zero and attempt to solve: Simplifying -7 + -9x = 0 Solving -7 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -9x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = 0 + 7 -9x = 0 + 7 Combine like terms: 0 + 7 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778

Subproblem 3

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

Solution

x = {0, -0.7777777778, 1}

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