Math, asked by adhya26, 7 months ago

x²-30x-99 factorise​

Answers

Answered by rkarm05
1

Simplifying

x2 + 30x + -99 = 0

Reorder the terms:

-99 + 30x + x2 = 0

Solving

-99 + 30x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(-33 + -1x)(3 + -1x) = 0

Subproblem 1

Set the factor '(-33 + -1x)' equal to zero and attempt to solve:

Simplifying

-33 + -1x = 0

Solving

-33 + -1x = 0

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

Add '33' to each side of the equation.

-33 + 33 + -1x = 0 + 33

Combine like terms: -33 + 33 = 0

0 + -1x = 0 + 33

-1x = 0 + 33

Combine like terms: 0 + 33 = 33

-1x = 33

Divide each side by '-1'.

x = -33

Simplifying

x = -33

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

Simplifying

3 + -1x = 0

Solving

3 + -1x = 0

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

Add '-3' to each side of the equation.

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

Combine like terms: 3 + -3 = 0

0 + -1x = 0 + -3

-1x = 0 + -3

Combine like terms: 0 + -3 = -3

-1x = -3

Divide each side by '-1'.

x = 3

Simplifying

x = 3

Solution

x = {-33, 3}

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