Question

3x^2- 5x -50 = 0
${3x}^{2}$
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Answer 1

Answer:

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Answer 2

Answer:

Solution for 3x^2+5x=0 equation:

Simplifying

3x2 + 5x = 0

Reorder the terms:

5x + 3x2 = 0

Solving

5x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.

x(5 + 3x) = 0

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 '(5 + 3x)' equal to zero and attempt to solve:

Simplifying

5 + 3x = 0

Solving

5 + 3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.

5 + -5 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0

0 + 3x = 0 + -5

3x = 0 + -5

Combine like terms: 0 + -5 = -5

3x = -5

Divide each side by '3'.

x = -1.666666667

Simplifying

x = -1.666666667

Solution

x = {0, -1.666666667}