Question
Solve the equation
x=0
Evaluate
3x2−5x×7=13x×x2
Multiply the terms
3x2−35x=13x×x2
Multiply
More Steps

Evaluate
13x×x2
Multiply the terms with the same base by adding their exponents
13x1+2
Add the numbers
13x3
3x2−35x=13x3
Move the expression to the left side
3x2−35x−13x3=0
Factor the expression
x(3x−35−13x2)=0
Separate the equation into 2 possible cases
x=03x−35−13x2=0
Solve the equation
More Steps

Evaluate
3x−35−13x2=0
Rewrite in standard form
−13x2+3x−35=0
Multiply both sides
13x2−3x+35=0
Substitute a=13,b=−3 and c=35 into the quadratic formula x=2a−b±b2−4ac
x=2×133±(−3)2−4×13×35
Simplify the expression
x=263±(−3)2−4×13×35
Simplify the expression
More Steps

Evaluate
(−3)2−4×13×35
Multiply the terms
(−3)2−1820
Rewrite the expression
32−1820
Evaluate the power
9−1820
Subtract the numbers
−1811
x=263±−1811
The expression is undefined in the set of real numbers
x∈/R
x=0x∈/R
Solution
x=0
Show Solution
