Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x≈−1.524074
Evaluate
3(x2×2x−3)=3(x2−1)×5x
Multiply
More Steps
Evaluate
x2×2x
Multiply the terms with the same base by adding their exponents
x2+1×2
Add the numbers
x3×2
Use the commutative property to reorder the terms
2x3
3(2x3−3)=3(x2−1)×5x
Multiply
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Evaluate
3(x2−1)×5x
Multiply the terms
15(x2−1)x
Multiply the terms
15x(x2−1)
3(2x3−3)=15x(x2−1)
Calculate
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Evaluate
3(2x3−3)
Apply the distributive property
3×2x3−3×3
Multiply the numbers
6x3−3×3
Multiply the numbers
6x3−9
6x3−9=15x(x2−1)
Calculate
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Evaluate
15x(x2−1)
Apply the distributive property
15x×x2−15x×1
Multiply the terms
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Evaluate
x×x2
Use the product rule an×am=an+m to simplify the expression
x1+2
Add the numbers
x3
15x3−15x×1
Any expression multiplied by 1 remains the same
15x3−15x
6x3−9=15x3−15x
Move the expression to the left side
6x3−9−(15x3−15x)=0
Calculate
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Add the terms
6x3−9−(15x3−15x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
6x3−9−15x3+15x
Subtract the terms
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Evaluate
6x3−15x3
Collect like terms by calculating the sum or difference of their coefficients
(6−15)x3
Subtract the numbers
−9x3
−9x3−9+15x
−9x3−9+15x=0
Factor the expression
−3(3x3+3−5x)=0
Divide both sides
3x3+3−5x=0
Solution
x≈−1.524074
Show Solution
Graph
