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Simplifying 15x2 + -61x + 53 = -3 Reorder the terms: 53 + -61x + 15x2 = -3 Solving 53 + -61x + 15x2 = -3 Solving for variable 'x'. Reorder the terms: 53 + 3 + -61x + 15x2 = -3 + 3 Combine like terms: 53 + 3 = 56 56 + -61x + 15x2 = -3 + 3 Combine like terms: -3 + 3 = 0 56 + -61x + 15x2 = 0 Factor a trinomial. (7 + -5x)(8 + -3x) = 0Subproblem 1
Set the factor '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 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 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667Solution
x = {1.4, 2.666666667}
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