Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
m=3x3−3x7+x4−6x2
Evaluate
(x2−1)(x2−3x×1×m−5)=−2
Any expression multiplied by 1 remains the same
(x2−1)(x2−3xm−5)=−2
Rewrite the expression
(x2−1)(x2−5−3xm)=−2
Divide both sides
x2−1(x2−1)(x2−5−3xm)=x2−1−2
Divide the numbers
x2−5−3xm=x2−1−2
Use b−a=−ba=−ba to rewrite the fraction
x2−5−3xm=−x2−12
Move the constant to the right side
−3xm=−x2−12−(x2−5)
Subtract the terms
More Steps
Evaluate
−x2−12−(x2−5)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−x2−12−x2+5
Reduce fractions to a common denominator
−x2−12−x2−1x2(x2−1)+x2−15(x2−1)
Write all numerators above the common denominator
x2−1−2−x2(x2−1)+5(x2−1)
Multiply the terms
More Steps
Evaluate
x2(x2−1)
Apply the distributive property
x2×x2−x2
Multiply the terms
x4−x2
x2−1−2−(x4−x2)+5(x2−1)
Apply the distributive property
x2−1−2−(x4−x2)+5x2−5
Calculate the sum or difference
More Steps
Evaluate
−2−(x4−x2)+5x2−5
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−2−x4+x2+5x2−5
Subtract the numbers
−7−x4+x2+5x2
Add the terms
−7−x4+6x2
x2−1−7−x4+6x2
−3xm=x2−1−7−x4+6x2
Multiply by the reciprocal
−3xm(−3x1)=x2−1−7−x4+6x2×(−3x1)
Multiply
m=x2−1−7−x4+6x2×(−3x1)
Solution
More Steps
Evaluate
x2−1−7−x4+6x2×(−3x1)
Multiplying or dividing an even number of negative terms equals a positive
x2−17+x4−6x2×3x1
To multiply the fractions,multiply the numerators and denominators separately
(x2−1)×3x7+x4−6x2
Multiply the numbers
More Steps
Evaluate
(x2−1)×3x
Multiply the terms
(3x2−3)x
Apply the distributive property
3x2×x−3x
Multiply the terms
3x3−3x
3x3−3x7+x4−6x2
m=3x3−3x7+x4−6x2
Show Solution
