5x+7x^2-8x+2x^2=

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Solution for 5x+7x^2-8x+2x^2= equation:


Simplifying
5x + 7x2 + -8x + 2x2 = 0

Reorder the terms:
5x + -8x + 7x2 + 2x2 = 0

Combine like terms: 5x + -8x = -3x
-3x + 7x2 + 2x2 = 0

Combine like terms: 7x2 + 2x2 = 9x2
-3x + 9x2 = 0

Solving
-3x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-1 + 3x) = 0

Ignore the factor 3.

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 '(-1 + 3x)' equal to zero and attempt to solve: Simplifying -1 + 3x = 0 Solving -1 + 3x = 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 + 3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 0 + 1 3x = 0 + 1 Combine like terms: 0 + 1 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333

Solution

x = {0, 0.3333333333}

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