Math, asked by ayushipk1912, 6 months ago

answer of equation
6x^2-26x=-8​

Answers

Answered by Nayana004
0

Answer:Simplifying

6x2 + 26x + 8 = 0

Reorder the terms:

8 + 26x + 6x2 = 0

Solving

8 + 26x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.

2(4 + 13x + 3x2) = 0

Factor a trinomial.

2((4 + x)(1 + 3x)) = 0

Ignore the factor 2.

Subproblem 1

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

Simplifying

4 + x = 0

Solving

4 + x = 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 + x = 0 + -4

Combine like terms: 4 + -4 = 0

0 + x = 0 + -4

x = 0 + -4

Combine like terms: 0 + -4 = -4

x = -4

Simplifying

x = -4

Subproblem 2

Set the factor '(1 + 3x)' equal to zero and attempt to solve:

Simplifying

1 + 3x = 0

Solving

1 + 3x = 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 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0

0 + 3x = 0 + -1

3x = 0 + -1

Combine like terms: 0 + -1 = -1

3x = -1

Divide each side by '3'.

x = -0.3333333333

Simplifying

x = -0.3333333333

Solution

x = {-4, -0.3333333333}

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