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Simplifying (4x + 7) + -1(-2x2 + -5x + 7) = 0 Reorder the terms: (7 + 4x) + -1(-2x2 + -5x + 7) = 0 Remove parenthesis around (7 + 4x) 7 + 4x + -1(-2x2 + -5x + 7) = 0 Reorder the terms: 7 + 4x + -1(7 + -5x + -2x2) = 0 7 + 4x + (7 * -1 + -5x * -1 + -2x2 * -1) = 0 7 + 4x + (-7 + 5x + 2x2) = 0 Reorder the terms: 7 + -7 + 4x + 5x + 2x2 = 0 Combine like terms: 7 + -7 = 0 0 + 4x + 5x + 2x2 = 0 4x + 5x + 2x2 = 0 Combine like terms: 4x + 5x = 9x 9x + 2x2 = 0 Solving 9x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(9 + 2x) = 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 '(9 + 2x)' equal to zero and attempt to solve: Simplifying 9 + 2x = 0 Solving 9 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5Solution
x = {0, -4.5}
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