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This is factorisation by common factor, so we need to write 4x+6x² as a product. First we need to find the highest common factor of 4x and 6x² so that we can take it out, which in th...

Expand brackets on LHS4x+12=2x+8Collect "like" terms4x-2x=8-122x=-4Divide both sides by 2 to solve for xx=-4/2=-2Final Answerx=-2

To find the velocity function of a particle when given its displacement function, you must differentiate the given function. v = 6t^2 - 24t + 7 .Similarly, to get the displacement function from the veloci...

x² + y² = 5 1y = 3x + 1 2Inserting 2 into 1: x² + (3x +1)² = 5 Expanding the brackets: x² + 9x² + 3x +...

The important concept here is that in order to add or subtract fractions, they must have a common denominator. The easiest way of finding a common denominator for three or more fractions ...