Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−60x2+90x
Evaluate
−3(4x−6)×5x
Multiply the terms
−15(4x−6)x
Multiply the terms
−15x(4x−6)
Apply the distributive property
−15x×4x−(−15x×6)
Multiply the terms
More Steps
Evaluate
−15x×4x
Multiply the numbers
−60x×x
Multiply the terms
−60x2
−60x2−(−15x×6)
Multiply the numbers
−60x2−(−90x)
Solution
−60x2+90x
Show Solution
Factor the expression
−30x(2x−3)
Evaluate
−3(4x−6)×5x
Multiply the terms
−15(4x−6)x
Multiply the terms
−15x(4x−6)
Factor the expression
−15x×2(2x−3)
Solution
−30x(2x−3)
Show Solution
Find the roots
x1=0,x2=23
Alternative Form
x1=0,x2=1.5
Evaluate
−3(4x−6)×5x
To find the roots of the expression,set the expression equal to 0
−3(4x−6)×5x=0
Multiply
More Steps
Multiply the terms
−3(4x−6)×5x
Multiply the terms
−15(4x−6)x
Multiply the terms
−15x(4x−6)
−15x(4x−6)=0
Change the sign
15x(4x−6)=0
Elimination the left coefficient
x(4x−6)=0
Separate the equation into 2 possible cases
x=04x−6=0
Solve the equation
More Steps
Evaluate
4x−6=0
Move the constant to the right-hand side and change its sign
4x=0+6
Removing 0 doesn't change the value,so remove it from the expression
4x=6
Divide both sides
44x=46
Divide the numbers
x=46
Cancel out the common factor 2
x=23
x=0x=23
Solution
x1=0,x2=23
Alternative Form
x1=0,x2=1.5
Show Solution