Question
Solve the quadratic equation
Solve using the quadratic formula
Solve by completing the square
Solve using the PQ formula
x1=−1−3,x2=−1+3
Alternative Form
x1≈−2.732051,x2≈0.732051
Evaluate
−3−2x2=4x−7
Move the expression to the left side
4−2x2−4x=0
Rewrite in standard form
−2x2−4x+4=0
Multiply both sides
2x2+4x−4=0
Substitute a=2,b=4 and c=−4 into the quadratic formula x=2a−b±b2−4ac
x=2×2−4±42−4×2(−4)
Simplify the expression
x=4−4±42−4×2(−4)
Simplify the expression
More Steps

Evaluate
42−4×2(−4)
Multiply
More Steps

Multiply the terms
4×2(−4)
Rewrite the expression
−4×2×4
Multiply the terms
−32
42−(−32)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
42+32
Evaluate the power
16+32
Add the numbers
48
x=4−4±48
Simplify the radical expression
More Steps

Evaluate
48
Write the expression as a product where the root of one of the factors can be evaluated
16×3
Write the number in exponential form with the base of 4
42×3
The root of a product is equal to the product of the roots of each factor
42×3
Reduce the index of the radical and exponent with 2
43
x=4−4±43
Separate the equation into 2 possible cases
x=4−4+43x=4−4−43
Simplify the expression
More Steps

Evaluate
x=4−4+43
Divide the terms
More Steps

Evaluate
4−4+43
Rewrite the expression
44(−1+3)
Reduce the fraction
−1+3
x=−1+3
x=−1+3x=4−4−43
Simplify the expression
More Steps

Evaluate
x=4−4−43
Divide the terms
More Steps

Evaluate
4−4−43
Rewrite the expression
44(−1−3)
Reduce the fraction
−1−3
x=−1−3
x=−1+3x=−1−3
Solution
x1=−1−3,x2=−1+3
Alternative Form
x1≈−2.732051,x2≈0.732051
Show Solution
