24x^2+33=62x

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Solution for 24x^2+33=62x equation:


Simplifying
24x2 + 33 = 62x

Reorder the terms:
33 + 24x2 = 62x

Solving
33 + 24x2 = 62x

Solving for variable 'x'.

Reorder the terms:
33 + -62x + 24x2 = 62x + -62x

Combine like terms: 62x + -62x = 0
33 + -62x + 24x2 = 0

Factor a trinomial.
(3 + -4x)(11 + -6x) = 0

Subproblem 1

Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75

Subproblem 2

Set the factor '(11 + -6x)' equal to zero and attempt to solve: Simplifying 11 + -6x = 0 Solving 11 + -6x = 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 + -6x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -6x = 0 + -11 -6x = 0 + -11 Combine like terms: 0 + -11 = -11 -6x = -11 Divide each side by '-6'. x = 1.833333333 Simplifying x = 1.833333333

Solution

x = {0.75, 1.833333333}

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