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(5 X−5+5x2)−(3x2+2x)=2 X 2+6x−6

less than a minute read Jun 16, 2024
(5 X−5+5x2)−(3x2+2x)=2 X 2+6x−6

Solving the Equation: (5x - 5 + 5x²) - (3x² + 2x) = 2x² + 6x - 6

This article will guide you through the steps to solve the given equation.

1. Simplify both sides of the equation:

  • Left side:

    • Distribute the negative sign: 5x - 5 + 5x² - 3x² - 2x
    • Combine like terms: 2x² + 3x - 5

  • Right side: Remains the same: 2x² + 6x - 6

2. Rearrange the equation to set it equal to zero:

Subtract the terms on the right side from both sides: (2x² + 3x - 5) - (2x² + 6x - 6) = 0

Simplify by combining like terms: -3x + 1 = 0

3. Solve for x:

  • Subtract 1 from both sides: -3x = -1
  • Divide both sides by -3: x = 1/3

Solution:

Therefore, the solution to the equation (5x - 5 + 5x²) - (3x² + 2x) = 2x² + 6x - 6 is x = 1/3.

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