Question prompt: Question prompt: Factor the equation 4c^2 = 7c.Subtract and set to zero: Subtract 7c from both sides to set the equation to zero. 4c^2 - 7c = 0 This is necessary to factor the equation properly.Factor out common factor: Factor out the common factor c from the left side of the equation. c(4c - 7) = 0 By factoring out c, we can use the zero-product property to find the values of c.Apply zero-product property: Apply the zero-product property. If c(4c - 7) = 0, then either c = 0 or 4c - 7 = 0.Solve for c: Solve 4c - 7 = 0 for c. Add 7 to both sides: 4c = 7. Divide both sides by 4: c = 7/4.

Algebra 2

Factor quadratics

Full solution

4 c^{2}=7 c

Question prompt: Question prompt: Factor the equation $4c^2 = 7c$ .
Subtract and set to zero: Subtract $7c$ from both sides to set the equation to zero. $\newline$ $4c^2 - 7c = 0$ $\newline$ This is necessary to factor the equation properly.
Factor out common factor: Factor out the common factor $c$ from the left side of the equation. $c(4c - 7) = 0$ By factoring out $c$ , we can use the zero-product property to find the values of $c$ .
Apply zero-product property: Apply the zero-product property. $\newline$ If $c(4c - 7) = 0$ , then either $c = 0$ or $4c - 7 = 0$ .
Solve for c: Solve $4c - 7 = 0$ for $c$ . $\newline$ Add $7$ to both sides: $4c = 7$ . $\newline$ Divide both sides by $4$ : $c = \frac{7}{4}.$