Point charges of 6.0 mC and 4.0 mC are placed on an x axis, at x 8.0 m and x 16

Question

Point charges of 6.0 mC and 4.0 mC are placed on an x axis, at x 8.0 m and x 16 m, respectively. What charge must be placed at x 24 m so that any charge placed at the origin would experience no electrostatic force? Answer is -45 C but I'm not too sure how they got there Point charges of 6.0 mC and 4.0 mC are placed on an x axis, at x 8.0 m and x 16 m, respectively. What charge must be placed at x 24 m so that any charge placed at the origin would experience no electrostatic force? Answer is -45 C but I'm not too sure how they got there Point charges of 6.0 mC and 4.0 mC are placed on an x axis, at x 8.0 m and x 16 m, respectively. What charge must be placed at x 24 m so that any charge placed at the origin would experience no electrostatic force? Answer is -45 C but I'm not too sure how they got there

Explanation / Answer

force by 6 uC and -4uC = force by charge at x = 24 cm

k*6*q / 8^2 - k*4 / 16^2 = k*q1*q / 24^2

q = 45 uC

so a charge of -45 uC should be placed at x = 24 m

the answer would be -45 uC only when the charge 4uC is negative

i have solved considering 4 uC as negative charged

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