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Simplifying (x + 8) + (x + 7) + (x2 + -3x)(4x + -2) = 53 Reorder the terms: (8 + x) + (x + 7) + (x2 + -3x)(4x + -2) = 53 Remove parenthesis around (8 + x) 8 + x + (x + 7) + (x2 + -3x)(4x + -2) = 53 Reorder the terms: 8 + x + (7 + x) + (x2 + -3x)(4x + -2) = 53 Remove parenthesis around (7 + x) 8 + x + 7 + x + (x2 + -3x)(4x + -2) = 53 Reorder the terms: 8 + x + 7 + x + (-3x + x2)(4x + -2) = 53 Reorder the terms: 8 + x + 7 + x + (-3x + x2)(-2 + 4x) = 53 Multiply (-3x + x2) * (-2 + 4x) 8 + x + 7 + x + (-3x * (-2 + 4x) + x2(-2 + 4x)) = 53 8 + x + 7 + x + ((-2 * -3x + 4x * -3x) + x2(-2 + 4x)) = 53 8 + x + 7 + x + ((6x + -12x2) + x2(-2 + 4x)) = 53 8 + x + 7 + x + (6x + -12x2 + (-2 * x2 + 4x * x2)) = 53 8 + x + 7 + x + (6x + -12x2 + (-2x2 + 4x3)) = 53 Combine like terms: -12x2 + -2x2 = -14x2 8 + x + 7 + x + (6x + -14x2 + 4x3) = 53 Reorder the terms: 8 + 7 + x + x + 6x + -14x2 + 4x3 = 53 Combine like terms: 8 + 7 = 15 15 + x + x + 6x + -14x2 + 4x3 = 53 Combine like terms: x + x = 2x 15 + 2x + 6x + -14x2 + 4x3 = 53 Combine like terms: 2x + 6x = 8x 15 + 8x + -14x2 + 4x3 = 53 Solving 15 + 8x + -14x2 + 4x3 = 53 Solving for variable 'x'. Reorder the terms: 15 + -53 + 8x + -14x2 + 4x3 = 53 + -53 Combine like terms: 15 + -53 = -38 -38 + 8x + -14x2 + 4x3 = 53 + -53 Combine like terms: 53 + -53 = 0 -38 + 8x + -14x2 + 4x3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-19 + 4x + -7x2 + 2x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-19 + 4x + -7x2 + 2x3)' equal to zero and attempt to solve: Simplifying -19 + 4x + -7x2 + 2x3 = 0 Solving -19 + 4x + -7x2 + 2x3 = 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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