Solve for all values of xx by factoring.x, squared, plus, 10, x, minus, 40, equals, 4, xx 2 +10x−40=4x
Question
Solve for all values of xx by factoring.x, squared, plus, 10, x, minus, 40, equals, 4, xx 2 +10x−40=4x
Solution
Sure, let's solve the equation step by step:
- First, rewrite the equation: x^2 + 10x - 40 = 4x
- Then, rearrange the equation to bring all terms to one side: x^2 + 10x - 4x - 40 = 0
- Simplify the equation: x^2 + 6x - 40 = 0
- Now, factor the equation: (x - 4)(x + 10) = 0
- Set each factor equal to zero and solve for x: x - 4 = 0 and x + 10 = 0
- Solving these gives: x = 4 and x = -10
So, the solutions to the equation x^2 + 10x - 40 = 4x are x = 4 and x = -10.
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