Solve 4z 12=5z^2 - ScanMath

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Type your math problem... 4z 12=5z^2

Question

Solve the quadratic equation

Solve by factoring

Solve using the quadratic formula

Solve by completing the square

z_{1} = 0, z_{2} = \frac{48}{5}

Alternative Form

z_{1} = 0, z_{2} = 9.6

Evaluate

4 z \times 12 = 5 z^{2}

Multiply the terms

48 z = 5 z^{2}

Swap the sides

5 z^{2} = 48 z

Move the expression to the left side

5 z^{2} - 48 z = 0

Factor the expression

More Steps

Evaluate

5 z^{2} - 48 z

Rewrite the expression

z \times 5 z - z \times 48

Factor out z from the expression

z (5 z - 48)

z (5 z - 48) = 0

When the product of factors equals 0,at least one factor is 0

5 z - 48 = 0 z = 0

Solve the equation for z

More Steps

Evaluate

5 z - 48 = 0

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

5 z = 0 + 48

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

5 z = 48

Divide both sides

\frac{5 z}{5} = \frac{48}{5}

Divide the numbers

z = \frac{48}{5}

z = \frac{48}{5} z = 0

Solution

z_{1} = 0, z_{2} = \frac{48}{5}

Alternative Form

z_{1} = 0, z_{2} = 9.6

Show Solution

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