0=24x^2+55x-24

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Solution for 0=24x^2+55x-24 equation:


Simplifying
0 = 24x2 + 55x + -24

Reorder the terms:
0 = -24 + 55x + 24x2

Solving
0 = -24 + 55x + 24x2

Solving for variable 'x'.

Combine like terms: 0 + 24 = 24
24 + -55x + -24x2 = -24 + 55x + 24x2 + 24 + -55x + -24x2

Reorder the terms:
24 + -55x + -24x2 = -24 + 24 + 55x + -55x + 24x2 + -24x2

Combine like terms: -24 + 24 = 0
24 + -55x + -24x2 = 0 + 55x + -55x + 24x2 + -24x2
24 + -55x + -24x2 = 55x + -55x + 24x2 + -24x2

Combine like terms: 55x + -55x = 0
24 + -55x + -24x2 = 0 + 24x2 + -24x2
24 + -55x + -24x2 = 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
24 + -55x + -24x2 = 0

Factor a trinomial.
(3 + -8x)(8 + 3x) = 0

Subproblem 1

Set the factor '(3 + -8x)' equal to zero and attempt to solve: Simplifying 3 + -8x = 0 Solving 3 + -8x = 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 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375

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 = {0.375, -2.666666667}

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