Final Answer
$x<2$
Got another answer? Verify it here!
Step-by-step Solution
Problem to solve:
${x^2}<{10-3x}$
Specify the solving method
1
Grouping terms
$x^2+3x<10$
Learn how to solve inequalities problems step by step online.
$x^2+3x<10$
Learn how to solve inequalities problems step by step online. Solve the inequality x^2<10-3x. Grouping terms. Factor the polynomial x^2+3x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value 3. Now, we can factor x^2+3x+\frac{9}{4} as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. Moving the term -\frac{9}{4} to the other side of the inequation with opposite sign.
Final Answer
$x<2$