Question 202158
Solve using the quadratic formula: {{{x = (-b+-sqrt(b^2-4ac))/2a}}}
{{{15x^2+7x = 2}}} First subtract 2 from both sides.
{{{15x^2+7x-2 = 0}}} Apply the formula, noting that a = 15, b = 7, and c = -2.
{{{x = (-7+-sqrt(7^2-4(15)(-2)))/2(15)}}} Evaluate.
{{{x = (-7+-sqrt(49-(-120)))/30}}}
{{{x = (-7+-sqrt(169))/30}}}
{{{x = (-7+13)/30}}} or {{{x = (-7-13)/30}}}
{{{highlight(x = 0.2)}}} or {{{highlight(x = -0.67)}}}