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Simplifying 4x2 + 7x + -11 = -11 Reorder the terms: -11 + 7x + 4x2 = -11 Add '11' to each side of the equation. -11 + 7x + 11 + 4x2 = -11 + 11 Reorder the terms: -11 + 11 + 7x + 4x2 = -11 + 11 Combine like terms: -11 + 11 = 0 0 + 7x + 4x2 = -11 + 11 7x + 4x2 = -11 + 11 Combine like terms: -11 + 11 = 0 7x + 4x2 = 0 Solving 7x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(7 + 4x) = 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 '(7 + 4x)' equal to zero and attempt to solve: Simplifying 7 + 4x = 0 Solving 7 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 0 + -7 4x = 0 + -7 Combine like terms: 0 + -7 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75Solution
x = {0, -1.75}
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