What is the answer to 100=-16|m-30|+500 ?

The answer to 100=-16|m-30|+500 is m=5\lor m=55

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100=-16|m-30|+500

100 = - 16 ∣ m - 30 ∣ + 500

m = 5 or m = 55

Solution steps

100 = - 16 ∣ m - 30 ∣ + 500

Switch sides

- 16 ∣ m - 30 ∣ + 500 = 100

Move

500

to the right side

- 16 ∣ m - 30 ∣ = - 400

Divide both sides by

- 16

∣ m - 30 ∣ = 25

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

m - 30 = - 25 or m - 30 = 25

m - 30 = - 25 or m - 30 = 25

m = 5 or m = 55

9 a^{3} - 4 a

\frac{1}{2} + 3 x \geq 6

(x + 2) \leq 0

x + 8 = 3

2 x + 5 = 8 x - 4

What is the answer to 100=-16|m-30|+500 ?
The answer to 100=-16|m-30|+500 is m=5\lor m=55
Solve for m: 100=-16|m-30|+500
The solution is m=5\lor m=55