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Simplifying 2x(4 + 3x) = 4x(x + -45) (4 * 2x + 3x * 2x) = 4x(x + -45) (8x + 6x2) = 4x(x + -45) Reorder the terms: 8x + 6x2 = 4x(-45 + x) 8x + 6x2 = (-45 * 4x + x * 4x) 8x + 6x2 = (-180x + 4x2) Solving 8x + 6x2 = -180x + 4x2 Solving for variable 'x'. Reorder the terms: 8x + 180x + 6x2 + -4x2 = -180x + 4x2 + 180x + -4x2 Combine like terms: 8x + 180x = 188x 188x + 6x2 + -4x2 = -180x + 4x2 + 180x + -4x2 Combine like terms: 6x2 + -4x2 = 2x2 188x + 2x2 = -180x + 4x2 + 180x + -4x2 Reorder the terms: 188x + 2x2 = -180x + 180x + 4x2 + -4x2 Combine like terms: -180x + 180x = 0 188x + 2x2 = 0 + 4x2 + -4x2 188x + 2x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 188x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(94 + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(94 + x)' equal to zero and attempt to solve: Simplifying 94 + x = 0 Solving 94 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-94' to each side of the equation. 94 + -94 + x = 0 + -94 Combine like terms: 94 + -94 = 0 0 + x = 0 + -94 x = 0 + -94 Combine like terms: 0 + -94 = -94 x = -94 Simplifying x = -94Solution
x = {0, -94}
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