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Simplifying 300x = -1(16x * -16x) + 300 Reorder the terms for easier multiplication: 300x = -1(16 * -16x * x) + 300 Multiply 16 * -16 300x = -1(-256x * x) + 300 Multiply x * x 300x = -1(-256x2) + 300 Remove parenthesis around (-256x2) 300x = -1 * -256x2 + 300 Multiply -1 * -256 300x = 256x2 + 300 Reorder the terms: 300x = 300 + 256x2 Solving 300x = 300 + 256x2 Solving for variable 'x'. Reorder the terms: -300 + 300x + -256x2 = 300 + 256x2 + -300 + -256x2 Reorder the terms: -300 + 300x + -256x2 = 300 + -300 + 256x2 + -256x2 Combine like terms: 300 + -300 = 0 -300 + 300x + -256x2 = 0 + 256x2 + -256x2 -300 + 300x + -256x2 = 256x2 + -256x2 Combine like terms: 256x2 + -256x2 = 0 -300 + 300x + -256x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-75 + 75x + -64x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-75 + 75x + -64x2)' equal to zero and attempt to solve: Simplifying -75 + 75x + -64x2 = 0 Solving -75 + 75x + -64x2 = 0 Begin completing the square. Divide all terms by -64 the coefficient of the squared term: Divide each side by '-64'. 1.171875 + -1.171875x + x2 = 0 Move the constant term to the right: Add '-1.171875' to each side of the equation. 1.171875 + -1.171875x + -1.171875 + x2 = 0 + -1.171875 Reorder the terms: 1.171875 + -1.171875 + -1.171875x + x2 = 0 + -1.171875 Combine like terms: 1.171875 + -1.171875 = 0.000000 0.000000 + -1.171875x + x2 = 0 + -1.171875 -1.171875x + x2 = 0 + -1.171875 Combine like terms: 0 + -1.171875 = -1.171875 -1.171875x + x2 = -1.171875 The x term is -1.171875x. Take half its coefficient (-0.5859375). Square it (0.3433227539) and add it to both sides. Add '0.3433227539' to each side of the equation. -1.171875x + 0.3433227539 + x2 = -1.171875 + 0.3433227539 Reorder the terms: 0.3433227539 + -1.171875x + x2 = -1.171875 + 0.3433227539 Combine like terms: -1.171875 + 0.3433227539 = -0.8285522461 0.3433227539 + -1.171875x + x2 = -0.8285522461 Factor a perfect square on the left side: (x + -0.5859375)(x + -0.5859375) = -0.8285522461 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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