Consider the following quadratic equation:
12x^2=−9x
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.
To factor the left hand side of the equation 12x^2 = -9x, we need to rewrite it in standard form ax^2 + bx + c = 0.
Step 1: Subtract -9x from both sides of the equation to move all terms to one side:
12x^2 + 9x = 0
Step 2: Now, we can factor out the common factor 3x from both terms:
3x(4x + 3) = 0
So, the left hand side of the equation can be factored into two linear factors: 3x and 4x + 3.