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Simplifying 2x2 + 7x + -10 = 5x2 + -10 Reorder the terms: -10 + 7x + 2x2 = 5x2 + -10 Reorder the terms: -10 + 7x + 2x2 = -10 + 5x2 Add '10' to each side of the equation. -10 + 7x + 10 + 2x2 = -10 + 10 + 5x2 Reorder the terms: -10 + 10 + 7x + 2x2 = -10 + 10 + 5x2 Combine like terms: -10 + 10 = 0 0 + 7x + 2x2 = -10 + 10 + 5x2 7x + 2x2 = -10 + 10 + 5x2 Combine like terms: -10 + 10 = 0 7x + 2x2 = 0 + 5x2 7x + 2x2 = 5x2 Solving 7x + 2x2 = 5x2 Solving for variable 'x'. Combine like terms: 2x2 + -5x2 = -3x2 7x + -3x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 7x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(7 + -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 '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 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 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333Solution
x = {0, 2.333333333}
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