Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
4x−18900x2
Evaluate
4x−6(3x×75)×2x×7
Remove the parentheses
4x−6×3x×75×2x×7
Solution
More Steps
Evaluate
6×3x×75×2x×7
Multiply the terms
More Steps
Evaluate
6×3×75×2×7
Multiply the terms
18×75×2×7
Multiply the terms
1350×2×7
Multiply the terms
2700×7
Multiply the numbers
18900
18900x×x
Multiply the terms
18900x2
4x−18900x2
Show Solution
Factor the expression
4x(1−4725x)
Evaluate
4x−6(3x×75)×2x×7
Remove the parentheses
4x−6×3x×75×2x×7
Multiply the terms
4x−6×225x×2x×7
Multiply
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Multiply the terms
6×225x×2x×7
Multiply the terms
More Steps
Evaluate
6×225×2×7
Multiply the terms
1350×2×7
Multiply the terms
2700×7
Multiply the numbers
18900
18900x×x
Multiply the terms
18900x2
4x−18900x2
Rewrite the expression
4x−4x×4725x
Solution
4x(1−4725x)
Show Solution
Find the roots
x1=0,x2=47251
Alternative Form
x1=0,x2=0.000˙21164˙
Evaluate
4x−6(3x×75)×2x×7
To find the roots of the expression,set the expression equal to 0
4x−6(3x×75)×2x×7=0
Multiply the terms
4x−6×225x×2x×7=0
Multiply
More Steps
Multiply the terms
6×225x×2x×7
Multiply the terms
More Steps
Evaluate
6×225×2×7
Multiply the terms
1350×2×7
Multiply the terms
2700×7
Multiply the numbers
18900
18900x×x
Multiply the terms
18900x2
4x−18900x2=0
Factor the expression
More Steps
Evaluate
4x−18900x2
Rewrite the expression
4x−4x×4725x
Factor out 4x from the expression
4x(1−4725x)
4x(1−4725x)=0
When the product of factors equals 0,at least one factor is 0
4x=01−4725x=0
Solve the equation for x
x=01−4725x=0
Solve the equation for x
More Steps
Evaluate
1−4725x=0
Move the constant to the right-hand side and change its sign
−4725x=0−1
Removing 0 doesn't change the value,so remove it from the expression
−4725x=−1
Change the signs on both sides of the equation
4725x=1
Divide both sides
47254725x=47251
Divide the numbers
x=47251
x=0x=47251
Solution
x1=0,x2=47251
Alternative Form
x1=0,x2=0.000˙21164˙
Show Solution