33-9x^2+24x=33

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Solution for 33-9x^2+24x=33 equation:


Simplifying
33 + -9x2 + 24x = 33

Reorder the terms:
33 + 24x + -9x2 = 33

Add '-33' to each side of the equation.
33 + 24x + -33 + -9x2 = 33 + -33

Reorder the terms:
33 + -33 + 24x + -9x2 = 33 + -33

Combine like terms: 33 + -33 = 0
0 + 24x + -9x2 = 33 + -33
24x + -9x2 = 33 + -33

Combine like terms: 33 + -33 = 0
24x + -9x2 = 0

Solving
24x + -9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(8 + -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 '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667

Solution

x = {0, 2.666666667}

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