Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x=2
Evaluate
(2x2×x−7)×2=(5x−1)×2
Simplify
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Evaluate
(2x2×x−7)×2
Multiply
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Multiply the terms
2x2×x
Multiply the terms with the same base by adding their exponents
2x2+1
Add the numbers
2x3
(2x3−7)×2
Multiply the terms
2(2x3−7)
2(2x3−7)=(5x−1)×2
Multiply the terms
2(2x3−7)=2(5x−1)
Calculate
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Evaluate
2(2x3−7)
Apply the distributive property
2×2x3−2×7
Multiply the numbers
4x3−2×7
Multiply the numbers
4x3−14
4x3−14=2(5x−1)
Calculate
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Evaluate
2(5x−1)
Apply the distributive property
2×5x−2×1
Multiply the numbers
10x−2×1
Any expression multiplied by 1 remains the same
10x−2
4x3−14=10x−2
Move the expression to the left side
4x3−14−(10x−2)=0
Calculate
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Add the terms
4x3−14−(10x−2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
4x3−14−10x+2
Add the numbers
4x3−12−10x
4x3−12−10x=0
Factor the expression
2(x−2)(2x2+4x+3)=0
Divide both sides
(x−2)(2x2+4x+3)=0
Separate the equation into 2 possible cases
x−2=02x2+4x+3=0
Solve the equation
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Evaluate
x−2=0
Move the constant to the right-hand side and change its sign
x=0+2
Removing 0 doesn't change the value,so remove it from the expression
x=2
x=22x2+4x+3=0
Solve the equation
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Evaluate
2x2+4x+3=0
Substitute a=2,b=4 and c=3 into the quadratic formula x=2a−b±b2−4ac
x=2×2−4±42−4×2×3
Simplify the expression
x=4−4±42−4×2×3
Simplify the expression
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Evaluate
42−4×2×3
Multiply the terms
42−24
Evaluate the power
16−24
Subtract the numbers
−8
x=4−4±−8
The expression is undefined in the set of real numbers
x∈/R
x=2x∈/R
Solution
x=2
Show Solution
Graph
