Question
Simplify the expression
−10a2+60a
Evaluate
−5(a−6)×2a
Multiply the terms
−10(a−6)a
Multiply the terms
−10a(a−6)
Apply the distributive property
−10a×a−(−10a×6)
Multiply the terms
−10a2−(−10a×6)
Multiply the numbers
−10a2−(−60a)
Solution
−10a2+60a
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Find the roots
a1=0,a2=6
Evaluate
−5(a−6)×2a
To find the roots of the expression,set the expression equal to 0
−5(a−6)×2a=0
Multiply
More Steps

Multiply the terms
−5(a−6)×2a
Multiply the terms
−10(a−6)a
Multiply the terms
−10a(a−6)
−10a(a−6)=0
Change the sign
10a(a−6)=0
Elimination the left coefficient
a(a−6)=0
Separate the equation into 2 possible cases
a=0a−6=0
Solve the equation
More Steps

Evaluate
a−6=0
Move the constant to the right-hand side and change its sign
a=0+6
Removing 0 doesn't change the value,so remove it from the expression
a=6
a=0a=6
Solution
a1=0,a2=6
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