Question
Simplify the expression
−9x2+5x
Evaluate
3x(x−1)−4x(3x−2)
Expand the expression
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Calculate
3x(x−1)
Apply the distributive property
3x×x−3x×1
Multiply the terms
3x2−3x×1
Any expression multiplied by 1 remains the same
3x2−3x
3x2−3x−4x(3x−2)
Expand the expression
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Calculate
−4x(3x−2)
Apply the distributive property
−4x×3x−(−4x×2)
Multiply the terms
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Evaluate
−4x×3x
Multiply the numbers
−12x×x
Multiply the terms
−12x2
−12x2−(−4x×2)
Multiply the numbers
−12x2−(−8x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−12x2+8x
3x2−3x−12x2+8x
Subtract the terms
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Evaluate
3x2−12x2
Collect like terms by calculating the sum or difference of their coefficients
(3−12)x2
Subtract the numbers
−9x2
−9x2−3x+8x
Solution
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Evaluate
−3x+8x
Collect like terms by calculating the sum or difference of their coefficients
(−3+8)x
Add the numbers
5x
−9x2+5x
Show Solution

Factor the expression
(−9x+5)x
Evaluate
3x(x−1)−4x(3x−2)
Rewrite the expression
3(x−1)x−4(3x−2)x
Factor out x from the expression
(3(x−1)−4(3x−2))x
Solution
(−9x+5)x
Show Solution

Find the roots
x1=0,x2=95
Alternative Form
x1=0,x2=0.5˙
Evaluate
3x(x−1)−4x(3x−2)
To find the roots of the expression,set the expression equal to 0
3x(x−1)−4x(3x−2)=0
Calculate
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Evaluate
3x(x−1)−4x(3x−2)
Expand the expression
More Steps

Calculate
3x(x−1)
Apply the distributive property
3x×x−3x×1
Multiply the terms
3x2−3x×1
Any expression multiplied by 1 remains the same
3x2−3x
3x2−3x−4x(3x−2)
Expand the expression
More Steps

Calculate
−4x(3x−2)
Apply the distributive property
−4x×3x−(−4x×2)
Multiply the terms
−12x2−(−4x×2)
Multiply the numbers
−12x2−(−8x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−12x2+8x
3x2−3x−12x2+8x
Subtract the terms
More Steps

Evaluate
3x2−12x2
Collect like terms by calculating the sum or difference of their coefficients
(3−12)x2
Subtract the numbers
−9x2
−9x2−3x+8x
Add the terms
More Steps

Evaluate
−3x+8x
Collect like terms by calculating the sum or difference of their coefficients
(−3+8)x
Add the numbers
5x
−9x2+5x
−9x2+5x=0
Factor the expression
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Evaluate
−9x2+5x
Rewrite the expression
−x×9x+x×5
Factor out −x from the expression
−x(9x−5)
−x(9x−5)=0
When the product of factors equals 0,at least one factor is 0
−x=09x−5=0
Solve the equation for x
x=09x−5=0
Solve the equation for x
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Evaluate
9x−5=0
Move the constant to the right-hand side and change its sign
9x=0+5
Removing 0 doesn't change the value,so remove it from the expression
9x=5
Divide both sides
99x=95
Divide the numbers
x=95
x=0x=95
Solution
x1=0,x2=95
Alternative Form
x1=0,x2=0.5˙
Show Solution
