exam Maths Puzzle Numerical Ability

Find the value of c so that the quadratic equation 2x^2+4x-c=0 has two equal real roots. Can someone please show me the steps for solving this?

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exam Other Question

Write the equation of the line which has y-intercept (0,5) and is perpendicular to the line with equation y=-3x+1. 1. Find the product of (x^2 - 3x + 5) with the quotient of (18x^6 - 27x^5 - 9x^3) ÷ 9x3.

thank you so much for your valuable help.