Math, asked by swastikthanekar123, 11 months ago

10x^2-24x=0
solve it with factorising method

Answers

Answered by Anonymous
0

Answer:

Simplifying

10x2 + 24x = 0

Reorder the terms:

24x + 10x2 = 0

Solving

24x + 10x2 = 0

Solving for variable 'x'.

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

2x(12 + 5x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve:

Simplifying

x = 0

Solving

x = 0

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

Simplifying

x = 0

Subproblem 2

Set the factor '(12 + 5x)' equal to zero and attempt to solve:

Simplifying

12 + 5x = 0

Solving

12 + 5x = 0

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

Add '-12' to each side of the equation.

12 + -12 + 5x = 0 + -12

Combine like terms: 12 + -12 = 0

0 + 5x = 0 + -12

5x = 0 + -12

Combine like terms: 0 + -12 = -12

5x = -12

Divide each side by '5'.

x = -2.4

Simplifying

x = -2.4

Solution

x = {0, -2.4}

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