Question

question from linear inequation in one variable
answer please ​

Answer 1

Step-by-step explanation:

Simplifying

(3x + 5)(7x + -1) = 0

Reorder the terms:

(5 + 3x)(7x + -1) = 0

Reorder the terms:

(5 + 3x)(-1 + 7x) = 0

Multiply (5 + 3x) * (-1 + 7x)

(5(-1 + 7x) + 3x * (-1 + 7x)) = 0

((-1 * 5 + 7x * 5) + 3x * (-1 + 7x)) = 0

((-5 + 35x) + 3x * (-1 + 7x)) = 0

(-5 + 35x + (-1 * 3x + 7x * 3x)) = 0

(-5 + 35x + (-3x + 21x2)) = 0

Combine like terms: 35x + -3x = 32x

(-5 + 32x + 21x2) = 0

Solving

-5 + 32x + 21x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(-5 + -3x)(1 + -7x) = 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 + -7x)' equal to zero and attempt to solve:

Simplifying

1 + -7x = 0

Solving

1 + -7x = 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 + -7x = 0 + -1

Combine like terms: 1 + -1 = 0

0 + -7x = 0 + -1

-7x = 0 + -1

Combine like terms: 0 + -1 = -1

-7x = -1

Divide each side by '-7'.

x = 0.1428571429

Simplifying

x = 0.1428571429

Solution

x = {-1.666666667, 0.1428571429}

Hope helpful.....