Question

(a) Solve by factoring: x2 + 5x - 12 = 8x - 2

Answer 1

Answer:

x=-2 OR x=5

Step-by-step explanation:

Given Equation:

$x^2 + 5x - 12 = 8x - 2$

Taking the terms to left hand side to make a quadratic equation:

Subtracting 8x both side and adding '2' both side:

$x^2 + 5x - 12 -8x + 2=0$

Solving the like terms:

$x^2-3x-10=0$

Factorizing the equation:

$x^2+2x-5x-10=0$

Taking common from the equation:

$x(x+2)-5(x+2)=0\\\\(x+2)(x-5)=0$

$x+2=0\\\\x=-2$

OR

$x-5=0\\\\x=5$

Answer 2

Answer:

x=-2,5

Step-by-step explanation:

x^2 + 5x - 12 = 8x - 2

Subtract 8x from each side

x^2 + 5x-8x - 12 = 8x-8x - 2

x^2 -3x -12 = -2

Add 2 to each side

x^2 -3x-12+2=-2+2

x^2 -3x-10 =0

Factor

(x-5) (x+2) =0

Using the zero product property

x-5 =0     x+2=0

x=5             x=-2