Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
16x2−3
Evaluate
(x2−3)−(−3x2×5)
Remove the parentheses
x2−3−(−3x2×5)
Multiply the terms
x2−3−(−15x2)
Rewrite the expression
x2−3+15x2
Solution
More Steps
Evaluate
x2+15x2
Collect like terms by calculating the sum or difference of their coefficients
(1+15)x2
Add the numbers
16x2
16x2−3
Show Solution
Find the roots
x1=−43,x2=43
Alternative Form
x1≈−0.433013,x2≈0.433013
Evaluate
(x2−3)−(−3x2×5)
To find the roots of the expression,set the expression equal to 0
(x2−3)−(−3x2×5)=0
Remove the parentheses
x2−3−(−3x2×5)=0
Multiply the terms
x2−3−(−15x2)=0
Subtract the terms
More Steps
Simplify
x2−3−(−15x2)
Rewrite the expression
x2−3+15x2
Add the terms
More Steps
Evaluate
x2+15x2
Collect like terms by calculating the sum or difference of their coefficients
(1+15)x2
Add the numbers
16x2
16x2−3
16x2−3=0
Move the constant to the right-hand side and change its sign
16x2=0+3
Removing 0 doesn't change the value,so remove it from the expression
16x2=3
Divide both sides
1616x2=163
Divide the numbers
x2=163
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±163
Simplify the expression
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Evaluate
163
To take a root of a fraction,take the root of the numerator and denominator separately
163
Simplify the radical expression
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Evaluate
16
Write the number in exponential form with the base of 4
42
Reduce the index of the radical and exponent with 2
4
43
x=±43
Separate the equation into 2 possible cases
x=43x=−43
Solution
x1=−43,x2=43
Alternative Form
x1≈−0.433013,x2≈0.433013
Show Solution