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Simplifying 225x8 + -2224x4 + 64 = 0 Reorder the terms: 64 + -2224x4 + 225x8 = 0 Solving 64 + -2224x4 + 225x8 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 225 the coefficient of the squared term: Divide each side by '225'. 0.2844444444 + -9.884444444x4 + x8 = 0 Move the constant term to the right: Add '-0.2844444444' to each side of the equation. 0.2844444444 + -9.884444444x4 + -0.2844444444 + x8 = 0 + -0.2844444444 Reorder the terms: 0.2844444444 + -0.2844444444 + -9.884444444x4 + x8 = 0 + -0.2844444444 Combine like terms: 0.2844444444 + -0.2844444444 = 0.0000000000 0.0000000000 + -9.884444444x4 + x8 = 0 + -0.2844444444 -9.884444444x4 + x8 = 0 + -0.2844444444 Combine like terms: 0 + -0.2844444444 = -0.2844444444 -9.884444444x4 + x8 = -0.2844444444 The x term is -9.884444444x4. Take half its coefficient (-4.942222222). Square it (24.42556049) and add it to both sides. Add '24.42556049' to each side of the equation. -9.884444444x4 + 24.42556049 + x8 = -0.2844444444 + 24.42556049 Reorder the terms: 24.42556049 + -9.884444444x4 + x8 = -0.2844444444 + 24.42556049 Combine like terms: -0.2844444444 + 24.42556049 = 24.1411160456 24.42556049 + -9.884444444x4 + x8 = 24.1411160456 Factor a perfect square on the left side: (x4 + -4.942222222)(x4 + -4.942222222) = 24.1411160456 Calculate the square root of the right side: 4.913360972 Break this problem into two subproblems by setting (x4 + -4.942222222) equal to 4.913360972 and -4.913360972.Subproblem 1
x4 + -4.942222222 = 4.913360972 Simplifying x4 + -4.942222222 = 4.913360972 Reorder the terms: -4.942222222 + x4 = 4.913360972 Solving -4.942222222 + x4 = 4.913360972 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.942222222' to each side of the equation. -4.942222222 + 4.942222222 + x4 = 4.913360972 + 4.942222222 Combine like terms: -4.942222222 + 4.942222222 = 0.000000000 0.000000000 + x4 = 4.913360972 + 4.942222222 x4 = 4.913360972 + 4.942222222 Combine like terms: 4.913360972 + 4.942222222 = 9.855583194 x4 = 9.855583194 Simplifying x4 = 9.855583194 Reorder the terms: -9.855583194 + x4 = 9.855583194 + -9.855583194 Combine like terms: 9.855583194 + -9.855583194 = 0.000000000 -9.855583194 + x4 = 0.000000000 The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined.Subproblem 2
x4 + -4.942222222 = -4.913360972 Simplifying x4 + -4.942222222 = -4.913360972 Reorder the terms: -4.942222222 + x4 = -4.913360972 Solving -4.942222222 + x4 = -4.913360972 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.942222222' to each side of the equation. -4.942222222 + 4.942222222 + x4 = -4.913360972 + 4.942222222 Combine like terms: -4.942222222 + 4.942222222 = 0.000000000 0.000000000 + x4 = -4.913360972 + 4.942222222 x4 = -4.913360972 + 4.942222222 Combine like terms: -4.913360972 + 4.942222222 = 0.02886125 x4 = 0.02886125 Simplifying x4 = 0.02886125 Reorder the terms: -0.02886125 + x4 = 0.02886125 + -0.02886125 Combine like terms: 0.02886125 + -0.02886125 = 0.00000000 -0.02886125 + x4 = 0.00000000 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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