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Simplifying 19x2 + 5 = -5x2 + 5 + -1x Reorder the terms: 5 + 19x2 = -5x2 + 5 + -1x Reorder the terms: 5 + 19x2 = 5 + -1x + -5x2 Add '-5' to each side of the equation. 5 + -5 + 19x2 = 5 + -1x + -5 + -5x2 Combine like terms: 5 + -5 = 0 0 + 19x2 = 5 + -1x + -5 + -5x2 19x2 = 5 + -1x + -5 + -5x2 Reorder the terms: 19x2 = 5 + -5 + -1x + -5x2 Combine like terms: 5 + -5 = 0 19x2 = 0 + -1x + -5x2 19x2 = -1x + -5x2 Solving 19x2 = -1x + -5x2 Solving for variable 'x'. Reorder the terms: x + 19x2 + 5x2 = -1x + -5x2 + x + 5x2 Combine like terms: 19x2 + 5x2 = 24x2 x + 24x2 = -1x + -5x2 + x + 5x2 Reorder the terms: x + 24x2 = -1x + x + -5x2 + 5x2 Combine like terms: -1x + x = 0 x + 24x2 = 0 + -5x2 + 5x2 x + 24x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 x + 24x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + 24x) = 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 '(1 + 24x)' equal to zero and attempt to solve: Simplifying 1 + 24x = 0 Solving 1 + 24x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 24x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 24x = 0 + -1 24x = 0 + -1 Combine like terms: 0 + -1 = -1 24x = -1 Divide each side by '24'. x = -0.04166666667 Simplifying x = -0.04166666667Solution
x = {0, -0.04166666667}
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