Solve the quadratic by factoring. 4x^(2)-9x+1=-4x Answer: x=

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Solve the quadratic by factoring.  4x^(2)-9x+1=-4x Answer:  x=

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Move Terms to One Side: Move all terms to one side of the equation to set it equal to zero. 4x^2 - 9x + 1 = -4x becomes 4x^2 - 9x + 4x + 1 = 0 after adding 4x to both sides. Simplify the equation: 4x^2 - 5x + 1 = 0.Identify a, b, c: Identify a, b, and c in the quadratic equation ax^2 + bx + c = 0. For the equation 4x^2 - 5x + 1 = 0, a = 4, b = -5, and c = 1.Find Multiplying Numbers: Find two numbers that multiply to a*c (4*1=4) and add up to b (-5). The numbers that satisfy these conditions are -4 and -1 because -4 * -1 = 4 and -4 + -1 = -5.Rewrite Equation with Numbers: Rewrite the equation by splitting the middle term using the two numbers found in Step 3. 4x^2 - 4x - x + 1 = 0.Factor by Grouping: Factor by grouping. Group the first two terms and the last two terms: (4x^2 - 4x) + (-x + 1) = 0. Factor out the common factors in each group: 4x(x - 1) - 1(x - 1) = 0.Factor out Common Factor: Factor out the common binomial factor. (4x - 1)(x - 1) = 0.Set Factors Equal and Solve: Set each factor equal to zero and solve for x. 4x - 1 = 0 or x - 1 = 0. For 4x - 1 = 0, add 1 to both sides: 4x = 1, then divide by 4: x = 1/4. For x - 1 = 0, add 1 to both sides: x = 1.

Solve the quadratic by factoring. $\newline$ $4 x^{2}-9 x+1=-4 x$ $\newline$ Answer: $x=$

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Solve the quadratic by factoring.\newline4x2−9x+1=−4x 4 x^{2}-9 x+1=-4 x 4x2−9x+1=−4x\newlineAnswer: x= x= x=

Solve the quadratic by factoring. $\newline$ $4 x^{2}-9 x+1=-4 x$ $\newline$ Answer: $x=$