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Simplifying [x2 + -3x + 7][2x + -8] = 34 Reorder the terms: [7 + -3x + x2][2x + -8] = 34 Reorder the terms: [7 + -3x + x2][-8 + 2x] = 34 Multiply [7 + -3x + x2] * [-8 + 2x] [7[-8 + 2x] + -3x * [-8 + 2x] + x2[-8 + 2x]] = 34 [[-8 * 7 + 2x * 7] + -3x * [-8 + 2x] + x2[-8 + 2x]] = 34 [[-56 + 14x] + -3x * [-8 + 2x] + x2[-8 + 2x]] = 34 [-56 + 14x + [-8 * -3x + 2x * -3x] + x2[-8 + 2x]] = 34 [-56 + 14x + [24x + -6x2] + x2[-8 + 2x]] = 34 [-56 + 14x + 24x + -6x2 + [-8 * x2 + 2x * x2]] = 34 [-56 + 14x + 24x + -6x2 + [-8x2 + 2x3]] = 34 Combine like terms: 14x + 24x = 38x [-56 + 38x + -6x2 + -8x2 + 2x3] = 34 Combine like terms: -6x2 + -8x2 = -14x2 [-56 + 38x + -14x2 + 2x3] = 34 Solving -56 + 38x + -14x2 + 2x3 = 34 Solving for variable 'x'. Reorder the terms: -56 + -34 + 38x + -14x2 + 2x3 = 34 + -34 Combine like terms: -56 + -34 = -90 -90 + 38x + -14x2 + 2x3 = 34 + -34 Combine like terms: 34 + -34 = 0 -90 + 38x + -14x2 + 2x3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-45 + 19x + -7x2 + x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-45 + 19x + -7x2 + x3)' equal to zero and attempt to solve: Simplifying -45 + 19x + -7x2 + x3 = 0 Solving -45 + 19x + -7x2 + x3 = 0 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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