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Simplifying 15x2y2 + 7xy2 + 4y2 = 0 Reorder the terms: 7xy2 + 15x2y2 + 4y2 = 0 Solving 7xy2 + 15x2y2 + 4y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(7x + 15x2 + 4) = 0Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. y2 + -1y2 = 0 + -1y2 Remove the zero: 0 = -1y2 Simplifying 0 = -1y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(7x + 15x2 + 4)' equal to zero and attempt to solve: Simplifying 7x + 15x2 + 4 = 0 Reorder the terms: 4 + 7x + 15x2 = 0 Solving 4 + 7x + 15x2 = 0 Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.2666666667 + 0.4666666667x + x2 = 0 Move the constant term to the right: Add '-0.2666666667' to each side of the equation. 0.2666666667 + 0.4666666667x + -0.2666666667 + x2 = 0 + -0.2666666667 Reorder the terms: 0.2666666667 + -0.2666666667 + 0.4666666667x + x2 = 0 + -0.2666666667 Combine like terms: 0.2666666667 + -0.2666666667 = 0.0000000000 0.0000000000 + 0.4666666667x + x2 = 0 + -0.2666666667 0.4666666667x + x2 = 0 + -0.2666666667 Combine like terms: 0 + -0.2666666667 = -0.2666666667 0.4666666667x + x2 = -0.2666666667 The x term is 0.4666666667x. Take half its coefficient (0.2333333334). Square it (0.05444444448) and add it to both sides. Add '0.05444444448' to each side of the equation. 0.4666666667x + 0.05444444448 + x2 = -0.2666666667 + 0.05444444448 Reorder the terms: 0.05444444448 + 0.4666666667x + x2 = -0.2666666667 + 0.05444444448 Combine like terms: -0.2666666667 + 0.05444444448 = -0.21222222222 0.05444444448 + 0.4666666667x + x2 = -0.21222222222 Factor a perfect square on the left side: (x + 0.2333333334)(x + 0.2333333334) = -0.21222222222 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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