book Maths Puzzle Numerical Ability

solve the equation: |0.1x - 0.2| = |0.2x - 0.4|

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The spoke of a wheel reaches from the center of the wheel to its rim. If the circumference of the rim of the wheel is 42 inches long, how long is the spoke? round your answer the t use the discriminant to determine how many real number solutions the quadratic equation -4j^2+3j-28=0 has