Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
7x−7−2x3
Evaluate
(17)x×1−(71)2x3
Divide the terms
7x×1−(71)2x3
Any expression multiplied by 1 remains the same
7x−(71)2x3
Solution
7x−7−2x3
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Factor the expression
(7x+2x3−1)(7(x3))−2
Evaluate
(17)x×1−(71)2x3
Divide the terms
7x×1−(71)2x3
Any expression multiplied by 1 remains the same
7x−(71)2x3
Evaluate
7x−(7(x3))−2
Factor out −1 from the expression
7x(7(x3))2(7(x3))−2−(7(x3))−2
Factor out (7(x3))−2 from the expression
(7x(7(x3))2−1)(7(x3))−2
Solution
(7x+2x3−1)(7(x3))−2
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Find the roots
x=0
Evaluate
(17)x×1−(71)2x3
To find the roots of the expression,set the expression equal to 0
(17)x×1−(71)2x3=0
Divide the terms
7x×1−(71)2x3=0
Any expression multiplied by 1 remains the same
7x−(71)2x3=0
Rewrite the expression
7x−7−2x3=0
Move the expression to the right side
7x=7−2x3
Since the bases are the same,set the exponents equal
x=−2x3
Add or subtract both sides
x−(−2x3)=0
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
x+2x3=0
Factor the expression
x(1+2x2)=0
Separate the equation into 2 possible cases
x=01+2x2=0
Solve the equation
More Steps
Evaluate
1+2x2=0
Move the constant to the right-hand side and change its sign
2x2=0−1
Removing 0 doesn't change the value,so remove it from the expression
2x2=−1
Since the left-hand side is always positive or 0,and the right-hand side is always negative,the statement is false for any value of x
x∈/R
x=0x∈/R
Solution
x=0
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