Question

Solve 2x2 + 5x – 3 = x2 + 4x + 3 algebraically.

Answer 1

To solve the equation algebraically, group like terms, set the equation equal to zero, factor, and solve for x.

Step-by-step explanation:

To solve the equation 2x^2 + 5x - 3 = x^2 + 4x + 3 algebraically, we need to collect like terms and set the equation equal to zero.

Grouping like terms, we get x^2 + (4x - 5x) + (3 - 3) = 0.

This simplifies to x^2 - x = 0.

Factoring out an x, we have x(x - 1) = 0.

Setting each factor equal to zero, we find two possible solutions: x = 0 and x = 1. These are the values that satisfy the original equation.

Answer 2

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