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Simplifying 1(4x2 + -9) + -4x + -14(2x + -3) = 3(4x2 + -9)(2x + -3) Reorder the terms: 1(-9 + 4x2) + -4x + -14(2x + -3) = 3(4x2 + -9)(2x + -3) (-9 * 1 + 4x2 * 1) + -4x + -14(2x + -3) = 3(4x2 + -9)(2x + -3) (-9 + 4x2) + -4x + -14(2x + -3) = 3(4x2 + -9)(2x + -3) Reorder the terms: -9 + 4x2 + -4x + -14(-3 + 2x) = 3(4x2 + -9)(2x + -3) -9 + 4x2 + -4x + (-3 * -14 + 2x * -14) = 3(4x2 + -9)(2x + -3) -9 + 4x2 + -4x + (42 + -28x) = 3(4x2 + -9)(2x + -3) Reorder the terms: -9 + 42 + -4x + -28x + 4x2 = 3(4x2 + -9)(2x + -3) Combine like terms: -9 + 42 = 33 33 + -4x + -28x + 4x2 = 3(4x2 + -9)(2x + -3) Combine like terms: -4x + -28x = -32x 33 + -32x + 4x2 = 3(4x2 + -9)(2x + -3) Reorder the terms: 33 + -32x + 4x2 = 3(-9 + 4x2)(2x + -3) Reorder the terms: 33 + -32x + 4x2 = 3(-9 + 4x2)(-3 + 2x) Multiply (-9 + 4x2) * (-3 + 2x) 33 + -32x + 4x2 = 3(-9(-3 + 2x) + 4x2 * (-3 + 2x)) 33 + -32x + 4x2 = 3((-3 * -9 + 2x * -9) + 4x2 * (-3 + 2x)) 33 + -32x + 4x2 = 3((27 + -18x) + 4x2 * (-3 + 2x)) 33 + -32x + 4x2 = 3(27 + -18x + (-3 * 4x2 + 2x * 4x2)) 33 + -32x + 4x2 = 3(27 + -18x + (-12x2 + 8x3)) 33 + -32x + 4x2 = 3(27 + -18x + -12x2 + 8x3) 33 + -32x + 4x2 = (27 * 3 + -18x * 3 + -12x2 * 3 + 8x3 * 3) 33 + -32x + 4x2 = (81 + -54x + -36x2 + 24x3) Solving 33 + -32x + 4x2 = 81 + -54x + -36x2 + 24x3 Solving for variable 'x'. Reorder the terms: 33 + -81 + -32x + 54x + 4x2 + 36x2 + -24x3 = 81 + -54x + -36x2 + 24x3 + -81 + 54x + 36x2 + -24x3 Combine like terms: 33 + -81 = -48 -48 + -32x + 54x + 4x2 + 36x2 + -24x3 = 81 + -54x + -36x2 + 24x3 + -81 + 54x + 36x2 + -24x3 Combine like terms: -32x + 54x = 22x -48 + 22x + 4x2 + 36x2 + -24x3 = 81 + -54x + -36x2 + 24x3 + -81 + 54x + 36x2 + -24x3 Combine like terms: 4x2 + 36x2 = 40x2 -48 + 22x + 40x2 + -24x3 = 81 + -54x + -36x2 + 24x3 + -81 + 54x + 36x2 + -24x3 Reorder the terms: -48 + 22x + 40x2 + -24x3 = 81 + -81 + -54x + 54x + -36x2 + 36x2 + 24x3 + -24x3 Combine like terms: 81 + -81 = 0 -48 + 22x + 40x2 + -24x3 = 0 + -54x + 54x + -36x2 + 36x2 + 24x3 + -24x3 -48 + 22x + 40x2 + -24x3 = -54x + 54x + -36x2 + 36x2 + 24x3 + -24x3 Combine like terms: -54x + 54x = 0 -48 + 22x + 40x2 + -24x3 = 0 + -36x2 + 36x2 + 24x3 + -24x3 -48 + 22x + 40x2 + -24x3 = -36x2 + 36x2 + 24x3 + -24x3 Combine like terms: -36x2 + 36x2 = 0 -48 + 22x + 40x2 + -24x3 = 0 + 24x3 + -24x3 -48 + 22x + 40x2 + -24x3 = 24x3 + -24x3 Combine like terms: 24x3 + -24x3 = 0 -48 + 22x + 40x2 + -24x3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-24 + 11x + 20x2 + -12x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-24 + 11x + 20x2 + -12x3)' equal to zero and attempt to solve: Simplifying -24 + 11x + 20x2 + -12x3 = 0 Solving -24 + 11x + 20x2 + -12x3 = 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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