What is the value of X in this question?

Solution for 6x^2+7x-5=0 equation:

Simplifying

6x2 + 7x + -5 = 0

Reorder the terms:

-5 + 7x + 6x2 = 0

Solving

-5 + 7x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(-5 + -3x)(1 + -2x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying

1 + -2x = 0

Solving

1 + -2x = 0

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

Add '-1' to each side of the equation.

1 + -1 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0

0 + -2x = 0 + -1

-2x = 0 + -1

Combine like terms: 0 + -1 = -1

-2x = -1

Divide each side by '-2'.

x = 0.5

Simplifying

x = 0.5

Solution

x = {-1.666666667, 0.5

Step-by-step explanation:

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step-by-step explanation: