# Solve Using the Quadratic Formula (4t^2)/5=(7t)/5+9/10

Move all the expressions to the left side of the equation.
Subtract from both sides of the equation.
Subtract from both sides of the equation.
Multiply through by the least common denominator , then simplify.
Apply the distributive property.
Simplify.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Cancel the common factor of .
Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Cancel the common factor of .
Move the leading negative in into the numerator.
Cancel the common factor.
Rewrite the expression.
Use the quadratic formula to find the solutions.
Substitute the values , , and into the quadratic formula and solve for .
Simplify.
Simplify the numerator.
Raise to the power of .
Multiply by .
Multiply by .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Multiply by .
Simplify .
The final answer is the combination of both solutions.
Solve Using the Quadratic Formula (4t^2)/5=(7t)/5+9/10