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Simplifying 25x * 6x + 120 = 21x Reorder the terms for easier multiplication: 25 * 6x * x + 120 = 21x Multiply 25 * 6 150x * x + 120 = 21x Multiply x * x 150x2 + 120 = 21x Reorder the terms: 120 + 150x2 = 21x Solving 120 + 150x2 = 21x Solving for variable 'x'. Reorder the terms: 120 + -21x + 150x2 = 21x + -21x Combine like terms: 21x + -21x = 0 120 + -21x + 150x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(40 + -7x + 50x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(40 + -7x + 50x2)' equal to zero and attempt to solve: Simplifying 40 + -7x + 50x2 = 0 Solving 40 + -7x + 50x2 = 0 Begin completing the square. Divide all terms by 50 the coefficient of the squared term: Divide each side by '50'. 0.8 + -0.14x + x2 = 0.0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + -0.14x + -0.8 + x2 = 0.0 + -0.8 Reorder the terms: 0.8 + -0.8 + -0.14x + x2 = 0.0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.14x + x2 = 0.0 + -0.8 -0.14x + x2 = 0.0 + -0.8 Combine like terms: 0.0 + -0.8 = -0.8 -0.14x + x2 = -0.8 The x term is -0.14x. Take half its coefficient (-0.07). Square it (0.0049) and add it to both sides. Add '0.0049' to each side of the equation. -0.14x + 0.0049 + x2 = -0.8 + 0.0049 Reorder the terms: 0.0049 + -0.14x + x2 = -0.8 + 0.0049 Combine like terms: -0.8 + 0.0049 = -0.7951 0.0049 + -0.14x + x2 = -0.7951 Factor a perfect square on the left side: (x + -0.07)(x + -0.07) = -0.7951 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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