Question
Solve the quadratic equation
Solve by factoring
Solve using the quadratic formula
Solve using the PQ formula
x1=−43,x2=31
Alternative Form
x1=−0.75,x2=0.3˙
Evaluate
(5x−3)÷(−2)=x2×6
Divide the terms
More Steps

Evaluate
(5x−3)÷(−2)
Rewrite the expression
−25x−3
Use b−a=−ba=−ba to rewrite the fraction
−25x−3
−25x−3=x2×6
Use the commutative property to reorder the terms
−25x−3=6x2
Swap the sides
6x2=−25x−3
Multiply both sides of the equation by LCD
6x2×2=−25x−3×2
Simplify the equation
12x2=−25x−3×2
Simplify the equation
12x2=−5x+3
Move the expression to the left side
12x2+5x−3=0
Factor the expression
More Steps

Evaluate
12x2+5x−3
Rewrite the expression
12x2+(9−4)x−3
Calculate
12x2+9x−4x−3
Rewrite the expression
3x×4x+3x×3−4x−3
Factor out 3x from the expression
3x(4x+3)−4x−3
Factor out −1 from the expression
3x(4x+3)−(4x+3)
Factor out 4x+3 from the expression
(3x−1)(4x+3)
(3x−1)(4x+3)=0
When the product of factors equals 0,at least one factor is 0
3x−1=04x+3=0
Solve the equation for x
More Steps

Evaluate
3x−1=0
Move the constant to the right-hand side and change its sign
3x=0+1
Removing 0 doesn't change the value,so remove it from the expression
3x=1
Divide both sides
33x=31
Divide the numbers
x=31
x=314x+3=0
Solve the equation for x
More Steps

Evaluate
4x+3=0
Move the constant to the right-hand side and change its sign
4x=0−3
Removing 0 doesn't change the value,so remove it from the expression
4x=−3
Divide both sides
44x=4−3
Divide the numbers
x=4−3
Use b−a=−ba=−ba to rewrite the fraction
x=−43
x=31x=−43
Solution
x1=−43,x2=31
Alternative Form
x1=−0.75,x2=0.3˙
Show Solution
