Solve -10z^39=3z - ScanMath

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Type your math problem... -10z^39=3z

x

Question

Solve the equation

z = 0

Evaluate

- 10 z^{3} \times 9 = 3 z

Multiply the terms

- 90 z^{3} = 3 z

Add or subtract both sides

- 90 z^{3} - 3 z = 0

Factor the expression

- 3 z (30 z^{2} + 1) = 0

Divide both sides

z (30 z^{2} + 1) = 0

Separate the equation into 2 possible cases

z = 0 30 z^{2} + 1 = 0

Solve the equation

More Steps

Evaluate

30 z^{2} + 1 = 0

Move the constant to the right-hand side and change its sign

30 z^{2} = 0 - 1

Removing 0 doesn't change the value,so remove it from the expression

30 z^{2} = - 1

Since the left-hand side is always positive or 0,and the right-hand side is always negative,the statement is false for any value of z

z \in / R

z = 0 z \in / R

Solution

z = 0

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