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Simplifying 5x(-3x + 8x) + 3x = 0 Combine like terms: -3x + 8x = 5x 5x(5x) + 3x = 0 Remove parenthesis around (5x) 5x * 5x + 3x = 0 Reorder the terms for easier multiplication: 5 * 5x * x + 3x = 0 Multiply 5 * 5 25x * x + 3x = 0 Multiply x * x 25x2 + 3x = 0 Reorder the terms: 3x + 25x2 = 0 Solving 3x + 25x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(3 + 25x) = 0Subproblem 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 '(3 + 25x)' equal to zero and attempt to solve: Simplifying 3 + 25x = 0 Solving 3 + 25x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 25x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 25x = 0 + -3 25x = 0 + -3 Combine like terms: 0 + -3 = -3 25x = -3 Divide each side by '25'. x = -0.12 Simplifying x = -0.12Solution
x = {0, -0.12}
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