To solve the quadratic equation 10x^2 + x - 21 = 0, we can use the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 10, b = 1, and c = -21. Substituting these values into the formula, we get:
x = (-1 ± sqrt(1^2 - 4(10)(-21))) / 2(10)
x = (-1 ± sqrt(841)) / 20
Simplifying the square root, we get:
x = (-1 ± 29) / 20
This gives us two solutions:
x = -3/2 or x = 7/5
Therefore, the solutions to the equation 10x^2 + x - 21 = 0 are x = -3/2 and x = 7/5.