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Simplifying 7x2 + 61x + 40 = 40 Reorder the terms: 40 + 61x + 7x2 = 40 Add '-40' to each side of the equation. 40 + 61x + -40 + 7x2 = 40 + -40 Reorder the terms: 40 + -40 + 61x + 7x2 = 40 + -40 Combine like terms: 40 + -40 = 0 0 + 61x + 7x2 = 40 + -40 61x + 7x2 = 40 + -40 Combine like terms: 40 + -40 = 0 61x + 7x2 = 0 Solving 61x + 7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(61 + 7x) = 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 '(61 + 7x)' equal to zero and attempt to solve: Simplifying 61 + 7x = 0 Solving 61 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + 7x = 0 + -61 Combine like terms: 61 + -61 = 0 0 + 7x = 0 + -61 7x = 0 + -61 Combine like terms: 0 + -61 = -61 7x = -61 Divide each side by '7'. x = -8.714285714 Simplifying x = -8.714285714Solution
x = {0, -8.714285714}
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