Question

3x2 - 2x - 56 = 0 please fast and full explanation?????​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Simplifying

3x2 + -2x + -56 = 0

Reorder the terms:

-56 + -2x + 3x2 = 0

Solving

-56 + -2x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(-4 + -1x)(14 + -3x) = 0

Subproblem 1

Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying

-4 + -1x = 0

Solving

-4 + -1x = 0

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

Add '4' to each side of the equation.

-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0

0 + -1x = 0 + 4

-1x = 0 + 4

Combine like terms: 0 + 4 = 4

-1x = 4

Divide each side by '-1'.

x = -4

Simplifying

x = -4

Subproblem 2

Set the factor '(14 + -3x)' equal to zero and attempt to solve:

Simplifying

14 + -3x = 0

Solving

14 + -3x = 0

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

Add '-14' to each side of the equation.

14 + -14 + -3x = 0 + -14

Combine like terms: 14 + -14 = 0

0 + -3x = 0 + -14

-3x = 0 + -14

Combine like terms: 0 + -14 = -14

-3x = -14

Divide each side by '-3'.

x = 4.666666667

Simplifying

x = 4.666666667

Solution

x = {-4, 4.666666667}