Question
Solve the quadratic equation
Solve by factoring
Solve using the quadratic formula
Solve by completing the square
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x1=−2,x2=3
Evaluate
7x−2(2x−9)=3x2×1
Multiply the terms
7x−2(2x−9)=3x2
Swap the sides
3x2=7x−2(2x−9)
Expand the expression
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Evaluate
7x−2(2x−9)
Multiply the terms
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Evaluate
−2(2x−9)
Apply the distributive property
−2×2x−(−2×9)
Multiply the numbers
−4x−(−2×9)
Multiply the numbers
−4x−(−18)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−4x+18
7x−4x+18
Subtract the terms
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Evaluate
7x−4x
Collect like terms by calculating the sum or difference of their coefficients
(7−4)x
Subtract the numbers
3x
3x+18
3x2=3x+18
Move the expression to the left side
3x2−3x−18=0
Factor the expression
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Evaluate
3x2−3x−18
Rewrite the expression
3x2−3x−3×6
Factor out 3 from the expression
3(x2−x−6)
Factor the expression
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Evaluate
x2−x−6
Rewrite the expression
x2+(2−3)x−6
Calculate
x2+2x−3x−6
Rewrite the expression
x×x+x×2−3x−3×2
Factor out x from the expression
x(x+2)−3x−3×2
Factor out −3 from the expression
x(x+2)−3(x+2)
Factor out x+2 from the expression
(x−3)(x+2)
3(x−3)(x+2)
3(x−3)(x+2)=0
Divide the terms
(x−3)(x+2)=0
When the product of factors equals 0,at least one factor is 0
x−3=0x+2=0
Solve the equation for x
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Evaluate
x−3=0
Move the constant to the right-hand side and change its sign
x=0+3
Removing 0 doesn't change the value,so remove it from the expression
x=3
x=3x+2=0
Solve the equation for x
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Evaluate
x+2=0
Move the constant to the right-hand side and change its sign
x=0−2
Removing 0 doesn't change the value,so remove it from the expression
x=−2
x=3x=−2
Solution
x1=−2,x2=3
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