Question

Solve the following quadratic equation by factorisation method:
3x^2 + 5x = 0

Answer 1

Simplifying 3x2 + 5x = 0 Reorder the terms: 5x + 3x2 = 0
Solving 5x + 3x2 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), 'x'. x(5 + 3x) = 0

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 '(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

Solution

x = {0, -1.666666667}


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