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Simplifying (10x)(10x) + -42x + 36 = 0 Remove parenthesis around (10x) 10x(10x) + -42x + 36 = 0 Remove parenthesis around (10x) 10x * 10x + -42x + 36 = 0 Reorder the terms for easier multiplication: 10 * 10x * x + -42x + 36 = 0 Multiply 10 * 10 100x * x + -42x + 36 = 0 Multiply x * x 100x2 + -42x + 36 = 0 Reorder the terms: 36 + -42x + 100x2 = 0 Solving 36 + -42x + 100x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(18 + -21x + 50x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(18 + -21x + 50x2)' equal to zero and attempt to solve: Simplifying 18 + -21x + 50x2 = 0 Solving 18 + -21x + 50x2 = 0 Begin completing the square. Divide all terms by 50 the coefficient of the squared term: Divide each side by '50'. 0.36 + -0.42x + x2 = 0.0 Move the constant term to the right: Add '-0.36' to each side of the equation. 0.36 + -0.42x + -0.36 + x2 = 0.0 + -0.36 Reorder the terms: 0.36 + -0.36 + -0.42x + x2 = 0.0 + -0.36 Combine like terms: 0.36 + -0.36 = 0.00 0.00 + -0.42x + x2 = 0.0 + -0.36 -0.42x + x2 = 0.0 + -0.36 Combine like terms: 0.0 + -0.36 = -0.36 -0.42x + x2 = -0.36 The x term is -0.42x. Take half its coefficient (-0.21). Square it (0.0441) and add it to both sides. Add '0.0441' to each side of the equation. -0.42x + 0.0441 + x2 = -0.36 + 0.0441 Reorder the terms: 0.0441 + -0.42x + x2 = -0.36 + 0.0441 Combine like terms: -0.36 + 0.0441 = -0.3159 0.0441 + -0.42x + x2 = -0.3159 Factor a perfect square on the left side: (x + -0.21)(x + -0.21) = -0.3159 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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