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Simplifying 2x(x + -4) * x(2x + 5) = 52 Reorder the terms: 2x(-4 + x) * x(2x + 5) = 52 Reorder the terms: 2x(-4 + x) * x(5 + 2x) = 52 Reorder the terms for easier multiplication: 2x * x(-4 + x)(5 + 2x) = 52 Multiply x * x 2x2(-4 + x)(5 + 2x) = 52 Multiply (-4 + x) * (5 + 2x) 2x2(-4(5 + 2x) + x(5 + 2x)) = 52 2x2((5 * -4 + 2x * -4) + x(5 + 2x)) = 52 2x2((-20 + -8x) + x(5 + 2x)) = 52 2x2(-20 + -8x + (5 * x + 2x * x)) = 52 2x2(-20 + -8x + (5x + 2x2)) = 52 Combine like terms: -8x + 5x = -3x 2x2(-20 + -3x + 2x2) = 52 (-20 * 2x2 + -3x * 2x2 + 2x2 * 2x2) = 52 (-40x2 + -6x3 + 4x4) = 52 Solving -40x2 + -6x3 + 4x4 = 52 Solving for variable 'x'. Reorder the terms: -52 + -40x2 + -6x3 + 4x4 = 52 + -52 Combine like terms: 52 + -52 = 0 -52 + -40x2 + -6x3 + 4x4 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-26 + -20x2 + -3x3 + 2x4) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-26 + -20x2 + -3x3 + 2x4)' equal to zero and attempt to solve: Simplifying -26 + -20x2 + -3x3 + 2x4 = 0 Solving -26 + -20x2 + -3x3 + 2x4 = 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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