Question
Solve the equation
x=21
Alternative Form
x=0.5
Evaluate
4x2×2x−2=6x2−5x×1
Multiply
More Steps

Evaluate
4x2×2x
Multiply the terms
8x2×x
Multiply the terms with the same base by adding their exponents
8x2+1
Add the numbers
8x3
8x3−2=6x2−5x×1
Multiply the terms
8x3−2=6x2−5x
Move the expression to the left side
8x3−2−(6x2−5x)=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
8x3−2−6x2+5x=0
Factor the expression
(2x−1)(4x2+2−x)=0
Separate the equation into 2 possible cases
2x−1=04x2+2−x=0
Solve the equation
More Steps

Evaluate
2x−1=0
Move the constant to the right-hand side and change its sign
2x=0+1
Removing 0 doesn't change the value,so remove it from the expression
2x=1
Divide both sides
22x=21
Divide the numbers
x=21
x=214x2+2−x=0
Solve the equation
More Steps

Evaluate
4x2+2−x=0
Rewrite in standard form
4x2−x+2=0
Substitute a=4,b=−1 and c=2 into the quadratic formula x=2a−b±b2−4ac
x=2×41±(−1)2−4×4×2
Simplify the expression
x=81±(−1)2−4×4×2
Simplify the expression
More Steps

Evaluate
(−1)2−4×4×2
Evaluate the power
1−4×4×2
Multiply the terms
1−32
Subtract the numbers
−31
x=81±−31
The expression is undefined in the set of real numbers
x∈/R
x=21x∈/R
Solution
x=21
Alternative Form
x=0.5
Show Solution
