Algebra
Calculus
Trigonometry
Matrix
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=16
Evaluate
2(x−4)(x−10)=144
Expand the expression
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Evaluate
2(x−4)(x−10)
Multiply the terms
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Evaluate
2(x−4)
Apply the distributive property
2x−2×4
Multiply the numbers
2x−8
(2x−8)(x−10)
Apply the distributive property
2x×x−2x×10−8x−(−8×10)
Multiply the terms
2x2−2x×10−8x−(−8×10)
Multiply the numbers
2x2−20x−8x−(−8×10)
Multiply the numbers
2x2−20x−8x−(−80)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
2x2−20x−8x+80
Subtract the terms
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Evaluate
−20x−8x
Collect like terms by calculating the sum or difference of their coefficients
(−20−8)x
Subtract the numbers
−28x
2x2−28x+80
2x2−28x+80=144
Move the expression to the left side
2x2−28x−64=0
Factor the expression
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Evaluate
2x2−28x−64
Rewrite the expression
2x2−2×14x−2×32
Factor out 2 from the expression
2(x2−14x−32)
Factor the expression
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Evaluate
x2−14x−32
Rewrite the expression
x2+(2−16)x−32
Calculate
x2+2x−16x−32
Rewrite the expression
x×x+x×2−16x−16×2
Factor out x from the expression
x(x+2)−16x−16×2
Factor out −16 from the expression
x(x+2)−16(x+2)
Factor out x+2 from the expression
(x−16)(x+2)
2(x−16)(x+2)
2(x−16)(x+2)=0
Divide the terms
(x−16)(x+2)=0
When the product of factors equals 0,at least one factor is 0
x−16=0x+2=0
Solve the equation for x
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Evaluate
x−16=0
Move the constant to the right-hand side and change its sign
x=0+16
Removing 0 doesn't change the value,so remove it from the expression
x=16
x=16x+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=16x=−2
Solution
x1=−2,x2=16
Show Solution
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