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Solution:
Given x2 + 6x = 40
Bring the constant to the left side of the equation
x2 + 6x - 40 = 0
Let us solve this quadratic equation by splitting the middle terms.
x2 + 10x - 4x - 40 = 0
x(x + 10) - 4(x + 10) = 0
(x + 10)(x - 4) = 0
x = -10, 4
Therefore, the solutions are -10, 4
Summary:
The solutions to the equation x2 + 6x = 40 are -10, 4.