Consider the following quadratic equation:

Question

42x^2=29x+5
Step 1 of 2 : Using the standard form ax2+bx+c=0
of the given quadratic equation, factor the left hand side of the equation into two linear factors.

Answer 1

To factor the left hand side of the equation, we need to express 42x² as a product of two linear factors.

Let's start by factoring out the greatest common factor (GCF) of 42, which is 2:

42x² = 2 * 21 * x² = 2 * (3 * 7) * x² = (2 * 3 * 7) * x² = 6 * 7 * x² = 42x²

Now we have:

42x² = 42x²

So the left hand side is already factored.

The equation becomes:

42x² = 29x + 5