1 Solve: 12 2 + 18x +42
12 at 12x + 58
s 2243
3x+2
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Step-by-step explanation:
12x²+18x+42/18x²+12x+58=2x+3/3x+2
Doing cross multiplication
=> (12x² + 18x + 42)(3x + 2) = (18x² + 12x + 58)(2x + 3)
Dividing by 2 both sides
=> (6x² + 9x + 21)(3x + 2) = (9x² + 6x + 29)(2x + 3)
=> 18x³ + 12x² + 27x² + 18x + 63x + 42 = 18x³ + 27x² + 12x² + 18x + 58x + 87
Cancelling 18x³ + 12x² 27x² + 18x from both sides
=> 63x + 42 = 58x + 87
=> 5x = 45
=> x = 9
Hopefully this helps you
12x²+18x+42/18x²+12x+58=2x+3/3x+2
Doing cross multiplication
=> (12x² + 18x + 42)(3x + 2) = (18x² + 12x + 58)(2x + 3)
Dividing by 2 both sides
=> (6x² + 9x + 21)(3x + 2) = (9x² + 6x + 29)(2x + 3)
=> 18x³ + 12x² + 27x² + 18x + 63x + 42 = 18x³ + 27x² + 12x² + 18x + 58x + 87
Cancelling 18x³ + 12x² 27x² + 18x from both sides
=> 63x + 42 = 58x + 87
=> 5x = 45
=> x = 9
Hopefully this helps you
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