Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x1=−8,x2=523325,x3=8
Alternative Form
x1=−8,x2≈2.750138,x3=8
Evaluate
(x2−64)×2(x2×5x−104)×2=0
Simplify
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Evaluate
(x2−64)×2(x2×5x−104)×2
Multiply
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Multiply the terms
x2×5x
Multiply the terms with the same base by adding their exponents
x2+1×5
Add the numbers
x3×5
Use the commutative property to reorder the terms
5x3
(x2−64)×2(5x3−104)×2
Multiply the terms
(x2−64)×4(5x3−104)
Multiply the first two terms
4(x2−64)(5x3−104)
4(x2−64)(5x3−104)=0
Elimination the left coefficient
(x2−64)(5x3−104)=0
Separate the equation into 2 possible cases
x2−64=05x3−104=0
Solve the equation
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Evaluate
x2−64=0
Move the constant to the right-hand side and change its sign
x2=0+64
Removing 0 doesn't change the value,so remove it from the expression
x2=64
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±64
Simplify the expression
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Evaluate
64
Write the number in exponential form with the base of 8
82
Reduce the index of the radical and exponent with 2
8
x=±8
Separate the equation into 2 possible cases
x=8x=−8
x=8x=−85x3−104=0
Solve the equation
More Steps
Evaluate
5x3−104=0
Move the constant to the right-hand side and change its sign
5x3=0+104
Removing 0 doesn't change the value,so remove it from the expression
5x3=104
Divide both sides
55x3=5104
Divide the numbers
x3=5104
Take the 3-th root on both sides of the equation
3x3=35104
Calculate
x=35104
Simplify the root
More Steps
Evaluate
35104
To take a root of a fraction,take the root of the numerator and denominator separately
353104
Simplify the radical expression
352313
Multiply by the Conjugate
35×3522313×352
Simplify
35×3522313×325
Multiply the numbers
35×35223325
Multiply the numbers
523325
x=523325
x=8x=−8x=523325
Solution
x1=−8,x2=523325,x3=8
Alternative Form
x1=−8,x2≈2.750138,x3=8
Show Solution
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