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Simplifying 6x = 23x2 + 3x + 4 Reorder the terms: 6x = 4 + 3x + 23x2 Solving 6x = 4 + 3x + 23x2 Solving for variable 'x'. Reorder the terms: -4 + 6x + -3x + -23x2 = 4 + 3x + 23x2 + -4 + -3x + -23x2 Combine like terms: 6x + -3x = 3x -4 + 3x + -23x2 = 4 + 3x + 23x2 + -4 + -3x + -23x2 Reorder the terms: -4 + 3x + -23x2 = 4 + -4 + 3x + -3x + 23x2 + -23x2 Combine like terms: 4 + -4 = 0 -4 + 3x + -23x2 = 0 + 3x + -3x + 23x2 + -23x2 -4 + 3x + -23x2 = 3x + -3x + 23x2 + -23x2 Combine like terms: 3x + -3x = 0 -4 + 3x + -23x2 = 0 + 23x2 + -23x2 -4 + 3x + -23x2 = 23x2 + -23x2 Combine like terms: 23x2 + -23x2 = 0 -4 + 3x + -23x2 = 0 Begin completing the square. Divide all terms by -23 the coefficient of the squared term: Divide each side by '-23'. 0.1739130435 + -0.1304347826x + x2 = 0 Move the constant term to the right: Add '-0.1739130435' to each side of the equation. 0.1739130435 + -0.1304347826x + -0.1739130435 + x2 = 0 + -0.1739130435 Reorder the terms: 0.1739130435 + -0.1739130435 + -0.1304347826x + x2 = 0 + -0.1739130435 Combine like terms: 0.1739130435 + -0.1739130435 = 0.0000000000 0.0000000000 + -0.1304347826x + x2 = 0 + -0.1739130435 -0.1304347826x + x2 = 0 + -0.1739130435 Combine like terms: 0 + -0.1739130435 = -0.1739130435 -0.1304347826x + x2 = -0.1739130435 The x term is -0.1304347826x. Take half its coefficient (-0.0652173913). Square it (0.004253308128) and add it to both sides. Add '0.004253308128' to each side of the equation. -0.1304347826x + 0.004253308128 + x2 = -0.1739130435 + 0.004253308128 Reorder the terms: 0.004253308128 + -0.1304347826x + x2 = -0.1739130435 + 0.004253308128 Combine like terms: -0.1739130435 + 0.004253308128 = -0.169659735372 0.004253308128 + -0.1304347826x + x2 = -0.169659735372 Factor a perfect square on the left side: (x + -0.0652173913)(x + -0.0652173913) = -0.169659735372 Can't calculate square root of the right side. The solution to this equation could not be determined.
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