Math, asked by jobjohan46, 23 days ago

factorize 6x²-30x+24​

Answers

Answered by srushtikakde2006
0

Answer:

Simplifying

6x2 + 30x + 24 = 0

Reorder the terms:

24 + 30x + 6x2 = 0

Solving

24 + 30x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.

6(4 + 5x + x2) = 0

Factor a trinomial.

6((4 + x)(1 + x)) = 0

Ignore the factor 6.

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 + x)' equal to zero and attempt to solve:

Simplifying

1 + x = 0

Solving

1 + x = 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 + x = 0 + -1

Combine like terms: 1 + -1 = 0

0 + x = 0 + -1

x = 0 + -1

Combine like terms: 0 + -1 = -1

x = -1

Simplifying

x = -1

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