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Simplifying 4x2 + 3x = x2 + -7x Reorder the terms: 3x + 4x2 = x2 + -7x Reorder the terms: 3x + 4x2 = -7x + x2 Solving 3x + 4x2 = -7x + x2 Solving for variable 'x'. Reorder the terms: 3x + 7x + 4x2 + -1x2 = -7x + x2 + 7x + -1x2 Combine like terms: 3x + 7x = 10x 10x + 4x2 + -1x2 = -7x + x2 + 7x + -1x2 Combine like terms: 4x2 + -1x2 = 3x2 10x + 3x2 = -7x + x2 + 7x + -1x2 Reorder the terms: 10x + 3x2 = -7x + 7x + x2 + -1x2 Combine like terms: -7x + 7x = 0 10x + 3x2 = 0 + x2 + -1x2 10x + 3x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(10 + 3x) = 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 '(10 + 3x)' equal to zero and attempt to solve: Simplifying 10 + 3x = 0 Solving 10 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 0 + -10 3x = 0 + -10 Combine like terms: 0 + -10 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333Solution
x = {0, -3.333333333}
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