Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
q=45
Alternative Form
q=1.25
Evaluate
16q2×q−13q=15
Multiply
More Steps
Evaluate
16q2×q
Multiply the terms with the same base by adding their exponents
16q2+1
Add the numbers
16q3
16q3−13q=15
Move the expression to the left side
16q3−13q−15=0
Factor the expression
(4q−5)(4q2+5q+3)=0
Separate the equation into 2 possible cases
4q−5=04q2+5q+3=0
Solve the equation
More Steps
Evaluate
4q−5=0
Move the constant to the right-hand side and change its sign
4q=0+5
Removing 0 doesn't change the value,so remove it from the expression
4q=5
Divide both sides
44q=45
Divide the numbers
q=45
q=454q2+5q+3=0
Solve the equation
More Steps
Evaluate
4q2+5q+3=0
Substitute a=4,b=5 and c=3 into the quadratic formula q=2a−b±b2−4ac
q=2×4−5±52−4×4×3
Simplify the expression
q=8−5±52−4×4×3
Simplify the expression
More Steps
Evaluate
52−4×4×3
Multiply the terms
52−48
Evaluate the power
25−48
Subtract the numbers
−23
q=8−5±−23
The expression is undefined in the set of real numbers
q∈/R
q=45q∈/R
Solution
q=45
Alternative Form
q=1.25
Show Solution
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