Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x1=−2,x2=314
Alternative Form
x1=−2,x2=4.6˙
Evaluate
31−4x=65
Separate the equation into 2 possible cases
31−4x=6531−4x=−65
Solve the equation for x
More Steps
Evaluate
31−4x=65
Move the constant to the right-hand side and change its sign
−4x=65−31
Subtract the numbers
More Steps
Evaluate
65−31
Reduce fractions to a common denominator
65−3×22
Multiply the numbers
65−62
Write all numerators above the common denominator
65−2
Subtract the numbers
63
Cancel out the common factor 3
21
−4x=21
Rewrite the expression
4−x=21
Multiply both sides of the equation by 4
4−x×4=21×4
Multiply the terms
−x=24
Divide the terms
−x=2
Change the signs on both sides of the equation
x=−2
x=−231−4x=−65
Solve the equation for x
More Steps
Evaluate
31−4x=−65
Move the constant to the right-hand side and change its sign
−4x=−65−31
Subtract the numbers
More Steps
Evaluate
−65−31
Reduce fractions to a common denominator
−65−3×22
Multiply the numbers
−65−62
Write all numerators above the common denominator
6−5−2
Subtract the numbers
6−7
Use b−a=−ba=−ba to rewrite the fraction
−67
−4x=−67
Rewrite the expression
4−x=6−7
Multiply both sides of the equation by 4
4−x×4=6−7×4
Multiply the terms
−x=6−7×4
Divide the terms
−x=−314
Change the signs on both sides of the equation
x=314
x=−2x=314
Solution
x1=−2,x2=314
Alternative Form
x1=−2,x2=4.6˙
Show Solution
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