Solve (4x - 3)^2 - 3x(3 - 4x) = 0

Question

Solve the quadratic equation

Solve by factoring

Solve using the quadratic formula

Solve by completing the square

x_{1} = \frac{3}{7}, x_{2} = \frac{3}{4}

Alternative Form

x_{1} = 0. \dot{4} 2857 \dot{1}, x_{2} = 0.75

Evaluate

(4 x - 3)^{2} - 3 x (3 - 4 x) = 0

Expand the expression

More Steps

28 x^{2} - 33 x + 9 = 0

Factor the expression

More Steps

(4 x - 3) (7 x - 3) = 0

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

4 x - 3 = 0 7 x - 3 = 0

Solve the equation for x

More Steps

x = \frac{3}{4} 7 x - 3 = 0

Solve the equation for x

More Steps

x = \frac{3}{4} x = \frac{3}{7}

Solution

x_{1} = \frac{3}{7}, x_{2} = \frac{3}{4}

Alternative Form

x_{1} = 0. \dot{4} 2857 \dot{1}, x_{2} = 0.75

Show Solution