Final Answer
$x\leq 2.110434$
Got another answer? Verify it here!
Step-by-step Solution
Problem to solve:
${2x\cdot\left(x+14\right)}\leq {68}$
Specify the solving method
1
Divide both sides of the inequation by $2$
$x\left(x+14\right)\leq 34$
Learn how to solve one-variable linear inequalities problems step by step online.
$x\left(x+14\right)\leq 34$
Learn how to solve one-variable linear inequalities problems step by step online. Solve the inequality 2x(x+14)<=68. Divide both sides of the inequation by 2. Multiply the single term x by each term of the polynomial \left(x+14\right). Factor the polynomial x^2+14x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value 14. Now, we can factor x^2+14x+49 as a squared binomial of the form \left(x+\frac{b}{2}\right)^2.
Final Answer
$x\leq 2.110434$